{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <center style=\"font-size:140%;\"> Report - Project Assignment #*3*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>\n",
    "<span style=\"font-size:160%;\">**McGill University, Montreal** </span> <br>\n",
    "MECH(447|652) - Dynamics of Combustion <br>\n",
    "Project Assignment #*3* \n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>Submitted to \n",
    "<center>**Gilles Bourque**\n",
    "<center>by\n",
    "<center>**Saad Sarfraz Malik (260559335)**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center>14 November 2018\n",
    "<center>Montreal, Quebec, Canada"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Table of Content"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* [Introduction](#Introduction)\n",
    "\n",
    "* [Part 1 - Perfectly Stirred Reactor](#Part-1---Perfectly-Stirred-Reactor)\n",
    "    * [1.1 - Mass Flow Rate & Equivalence Ratio](#Mass-Flow-Rate-&-Equivalence-Ratio)\n",
    "    * [1.2 - Equilibrium](#Equilibrium-Method)\n",
    "    * [1.3 - PSR](#PSR-Method)\n",
    "    * [1.4 - Residence Time](#Residence-Time)\n",
    "    * [1.5 - Comparison](#Explanation)\n",
    "    \n",
    "* [Part 2 - RQL Combustor and Gas Turbine Combustor Design](## Part 2 - RQL Combustor and Gas Turbine Combustor Design) \n",
    "    * [2.1 - Scripts](#Scripts)\n",
    "    * [2.2 - Varying phi and plotting with X](#Varying phi and plotting with X)\n",
    "    * [2.2.1 - Mole Fraction X${}_{NO}$  vs RQL Equivalence Ratio ${\\varphi }_R$](#NO Mole Fraction vs Equivalence Ratio)\n",
    "    * [2.2.2 - Mole Fraction X${}_{CO}$  vs RQL Equivalence Ratio ${\\varphi }_R$](#CO Mole Fraction vs Equivalence Ratio)\n",
    "    * [2.2.3  - Mole Fraction X${}_{CH4}$  vs RQL Equivalence Ratio ${\\varphi }_R$](#CH4 Mole Fraction vs Equivalence Ratio)\n",
    "    * [2.2.4 - Temperature (${K}$)  vs RQL Equivalence Ratio ${\\varphi }_R$](#Temperature vs Equivalence Ratio)\n",
    "    * [2.2.5 - CO molar fraction (${X_CO}$) , NO molar fraction (${X_NO}$} vs RQL Equivalence Ratio ${\\varphi }_R$ ](#Molar Fractions vs Equivalence Ratio)\n",
    "    * [2.2.6 - Mole Fractions of CO, NO and CH4 vs RQL Equivalence Ratio](#Mole Fractions vs Equivalence Ratio)\n",
    "    * [2.3 Comparison and Explanation](#)\n",
    "  \n",
    "    \n",
    "* [Conclusion](#Conclusion)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this project, we are asked to examine different combustor desgin types. We are first asked to caluclate the required mass flow rate of methane at full load and the equivalence ratio with respect to given conditions through analysis of the Perfectly Stirred Reactor (PSR) Combustor. In addition we were asked to calulcate the equilibrium flame temperature and mole fractions of CO, NO and CH4 from the given temperature, pressure and composition conditions. We are also asked to calulcate the residence time for these conditions. Finally for part 1 we were asked to comapre the PSR concentration values for CO, NO and UHC with the equilibrium values. \n",
    "\n",
    "The second part then looks into the Rich-burn (Rich), Quick-quench, and Lean-burn (Lean) RQL Combustors. We were asked to vary the equivalence ratio of the rich burn PSR from 1 to 3 in steps of 0.1 and then plot T, XCO, XUHC, and XNO with respect to the equivalence ratio for both the first and second PSR. We were then asked to show graphically what range of values for the eqyuivalence ratio allow for both NO and CO to be below 25vppm. Finally we were asked to show through a table how the minimum pollutant emissions of the RQL combustor compare to the single PSR combustor and equilibrium calulcations. \n",
    "\n",
    "This assignment should give us a thorough understanding on the mechanisms of Combustor Systems as most combustors often do not reach complete equilibrium. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Basic packages required for labs**\n",
    "\n",
    "The Python kernel is initialized for Cantera, Numpy, MatplotLib and yaml with the commands below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import cantera as ct \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 1 - Perfectly Stirred Reactor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.1 – Mass Flow Rate & Equivalence Ratio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Land-based Gas Turbines (LBGT) are used for a variety of applications in industry including electricity production and natural gas/oil pressurization in pipelines. There are two main types:\n",
    "\n",
    "Aero-Derivative GT: Consists of an aircraft engine modified to burn gaseous fuels such as natural gas and operate at high compression ratios of around 25atm-50atm.\n",
    "\n",
    "Heavy Frame LBGT: Designed from scratch for land-based applications and are generally larger than aero-derivative GT in terms of size and power output, and operate at lower compression ratios 10atm-25atm\n",
    "\n",
    "Gas Turbines have strict conditions which must be met when designing them, which includes parameters such as the power requirements, combustion parameters, and pollutant emissions standards. The goal of this assignment is to design a new combustor, first with estimations obtained from 0D reactors as perfectly stirred reactors (PSR), to find the best configuration in order to reduce the amount of pollutants species formed (NO, CO, unburned hydrocarbons (UHC), etc.). The effect of staging the admission of air in the combustor on the amount of pollutant emissions will be assessed. The aero-derivative GT will be simulated using CANTERA with the following conditions:\n",
    "\n",
    "    * Efficiency of 45%\n",
    "    * Power Output of 140 MW at full conditions\n",
    "    * Total flow rate of 220 kg/s\n",
    "    * Combustor volume of 0.3m3\n",
    "    * Operating conditions are 35 atm and temperature of 850K"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first part requires us to calculate the mass flow rate of methane that is required and the overall equivalence ratio when the GT is operating at 'full-load' conditions with the assumption that the fuel heating value is 50 MJ/kg. First we will consider the complete combustion reaction of CH${}_{4}$:<br><br>\n",
    "$$\\varphi {CH}_4+2\\left(O_2+3.76N_2\\right)=\\ \\varphi {CO}_2+2\\varphi H_2O+7.52N_2$$ <br>\n",
    "The input power required when operating at full load conditions:<br><br>\n",
    "$$Input\\ Power\\ Required=\\frac{Power\\ Output}{\\eta }=\\frac{140\\ MW}{0.45}=311.1\\ MW$$<br>\n",
    "Thus the amount of fuel required is:<br><br>\n",
    "    $$Fuel\\ Rate\\ \\left({\\dot{m}}_{fuel}\\right)=\\frac{Input\\ Power\\ Required}{Fuel\\ Heating\\ Value}=\\frac{311.1\\ MW}{50\\ MJ/kg}=6.22\\ kg/s$$<br>\n",
    "In order to calculate the equivalence ratio, we will have to find the ratio of the Actual and Stoichiometric fuel-to-air ratios. We know that the molar mass of air and methane is 28.97 kg/kmol and 16.04 kg/kmol respectively. The equivalence ratio is then as follows:<br><br>\n",
    "$$\\varphi =\\frac{{\\left(\\frac{F}{A}\\right)}_{Actual}}{{\\left(\\frac{F}{A}\\right)}_{Stoich}}\\ =\\frac{\\left(\\frac{6.22}{16.04}\\right)\\div \\left(\\frac{220}{28.97}\\right)}{\\left(\\frac{1}{2+7.52}\\right)}=0.4861$$ <br>\n",
    "Now that we have found the equivalence ratio, we can use it along with CANTERA to find the adiabatic flame temperature, and the mole fractions of the pollutants (NO${}_{X}$, CO, UHC) for the same operating conditions (composition, temperature, and pressure)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.2 –  Equilibrium"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mole Fraction of CH4: [5.48799384e-18] vppm\n",
      "Mole Fraction of NO: [3884.57825107] vppm\n",
      "Mole Fraction of CO: [14.14964164] vppm\n",
      "Flame Temperature: 1899.8150574535698 K\n"
     ]
    }
   ],
   "source": [
    "species = {S.name: S for S in ct.Species.listFromFile('gri30.cti')}\n",
    "gas1 = ct.Solution(thermo='IdealGas', species=species.values())\n",
    "\n",
    "for i in range(1):\n",
    "    gas1.TPX = 850, 35*ct.one_atm, 'CH4:0.4861, O2:2, N2:7.52'\n",
    "    gas1.equilibrate('HP')\n",
    "\n",
    "    p_NO= gas1['NO'].X\n",
    "    p_CH4= gas1['CH4'].X\n",
    "    p_CO= gas1['CO'].X\n",
    "\n",
    "    T_equil= gas1.T\n",
    "print  ('Mole Fraction of CH4:',p_CH4*1e6,\"vppm\")\n",
    "print  ('Mole Fraction of NO:',p_NO*1e6,\"vppm\")\n",
    "print  ('Mole Fraction of CO:',p_CO*1e6,\"vppm\")\n",
    "\n",
    "print  ('Flame Temperature:',T_equil,'K')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  1.3 – PSR"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we are asked to use the jupyter notebook example (Example 6 PSR.ipynb) model to obtain the outlet pollutant composition (NOX, CO, UHC) and temperature of a 0.3 m3 PSR for the same operating conditions (composition, temperature, and pressure). The results obtained are summarized below"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mole Fraction of CH4: [8.55205917] vppm\n",
      "Mole Fraction of NO: [21.98736946] vppm\n",
      "Mole Fraction of CO: [124.18476848] vppm\n",
      "Density = 6.323777908991909 kg/m3\n",
      "Flame Temperature = 1903.8883534816407 K\n"
     ]
    }
   ],
   "source": [
    "fuel = ct.Solution('gri30.cti')\n",
    "fuel.TPX = 850,35*ct.one_atm, 'CH4:1.0'\n",
    "fuel_in = ct.Reservoir(fuel)\n",
    "\n",
    "air = ct.Solution('gri30.cti')\n",
    "air.TPX = 850,35*ct.one_atm, 'O2:0.21, N2:0.79'\n",
    "air_in = ct.Reservoir(air)\n",
    "\n",
    "\n",
    "combustor_ignition_gas = ct.Solution('gri30.cti')\n",
    "combustor_ignition_gas.TPX = 2500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "combustor = ct.Reactor(combustor_ignition_gas)\n",
    "\n",
    "\n",
    "combustor.volume = 0.3\n",
    "exhaust = ct.Reservoir(combustor_ignition_gas)\n",
    "\n",
    "fuel_mdot = 6.22\n",
    "air_mdot = 220  \n",
    "\n",
    "m1 = ct.MassFlowController(fuel_in, combustor, mdot=fuel_mdot)\n",
    "m2 = ct.MassFlowController(air_in, combustor, mdot=air_mdot)\n",
    "exhaust_valve = ct.Valve(combustor, exhaust , K=1.0)\n",
    "\n",
    "network = ct.ReactorNet([combustor])\n",
    "\n",
    "t = 0.0\n",
    "dt = 5.0e-3\n",
    "stop = 0\n",
    "n = 1\n",
    "nbstep = 5000\n",
    "tim = np.zeros(nbstep)\n",
    "temp = np.zeros(nbstep)\n",
    "\n",
    "while stop<100:\n",
    "    t = t + dt\n",
    "    network.advance(t)\n",
    "    tim[n] = network.time\n",
    "    temp[n] = combustor.T\n",
    "    if n>1:\n",
    "        if (abs(temp[n]-temp[n-1]) < 1e-6) :\n",
    "            stop=stop+1\n",
    "    n=n+1\n",
    "\n",
    "p_NO= combustor.thermo['NO'].X\n",
    "p_CH4= combustor.thermo['CH4'].X\n",
    "p_CO= combustor.thermo['CO'].X\n",
    "\n",
    "T_equil= combustor.T\n",
    "print  ('Mole Fraction of CH4:', p_CH4*1e6,\"vppm\")\n",
    "print  ('Mole Fraction of NO:',p_NO*1e6,\"vppm\")\n",
    "print  ('Mole Fraction of CO:',p_CO*1e6,\"vppm\")\n",
    "print  (\"Density =\", combustor.density,\"kg/m3\")\n",
    "print  (\"Flame Temperature =\", T_equil , \"K\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ### 1.4 – Residence Time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Residence time1 = 8.386231866019806  ms\n",
      "Residence time2 = 8.386231865872038  ms\n"
     ]
    }
   ],
   "source": [
    "timeres = combustor.mass/exhaust_valve.mdot(tim[n]) \n",
    "timeres2 = combustor.density * combustor.volume/(fuel_mdot+air_mdot)\n",
    "print (\"Residence time1 =\", timeres*1000,\" ms\")\n",
    "print (\"Residence time2 =\",timeres2*1000,\" ms\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.5 - Comparison"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The flame temperature obtained from both methods is pretty much the same with a small difference of 4.073 K. However,the pollutant molar fractions (especially for CH4) obtained from both methods have a significant difference. The one obtained from PSR has a much higher value. The main reason for this is that in the equilibrium method analysis, the assumption is that the volume of the reactor is infinite, whereas the volume of the PSR reactor is finite (0.3 m3). In conclusion the results obtained from the PSR method are more accurate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 2 - RQL Combustor and Gas Turbine Combustor Design"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.1 – Script"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " We are now asked to write a script to simulate the RQL configuration shown above using the PSR.ipynb provided to us as a reference.  The quench air stream is injected as a second inlet to the lean-burn PSR and a valve was added between the rich and the lean PSRs with a valve coefficient of 40, and between the quench and series of the PSR. The equivalence ratio of the rich-burn PSR, ${\\varphi }_R$, is varied from 1 to 3 in steps of 0.1. It is to be noted that the script for RQL accepts the mass flow rate of air, hence an expression for mass flow rate of air in terms of the equivalence ratio used in the script is to be found as follows:<br><br>\n",
    "$${\\varphi }_R=\\frac{\\left(\\frac{6.22}{16.04}\\right)\\div \\left(\\frac{{\\dot{m}}_{air}}{28.97}\\right)}{\\left(\\frac{1}{2+7.52}\\right)}$$\n",
    "\n",
    "$$\\Rightarrow {\\dot{m}}_{air}=\\frac{\\left(\\frac{6.22}{16.04}\\right)\\times (2+7.52)\\times28.97}{{\\varphi }_R}$$\n",
    "<br>\n",
    "$$\\Rightarrow {\\dot{m}}_{air}=\\frac{106.948}{{\\varphi }_R} $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 - Varying ${\\varphi }_R$ from 1-3 in steps of 0.5 and plotting X${}_{CO}$, X${}_{UHC}$, X${}_{XO}$,  Temperature (${K}$) vs ${\\varphi }_R$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "Mole Fraction of CH4 in Rich and Lean: 36.22622629763306 vppm 1.2438908453924368e-08 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 1218.6759295342958 vppm 645.1279013023238 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 14056.975424556973 vppm 14.454291334054815 vppm\n",
      "The temperature in Rich and Lean is:  2589.741616872508 K 1903.6180389421604 K\n",
      "2\n",
      "Mole Fraction of CH4 in Rich and Lean: 57.21044617970588 vppm 5.888193500812295e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 885.2668580994273 vppm 444.9042477541742 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 29788.844882741836 vppm 14.509892578856839 vppm\n",
      "The temperature in Rich and Lean is:  2587.013877983707 K 1904.0875921116399 K\n",
      "3\n",
      "Mole Fraction of CH4 in Rich and Lean: 135.079180832428 vppm 3.813246515333951e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 559.7505546609242 vppm 281.9939598601952 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 48092.446454009194 vppm 14.55527841978359 vppm\n",
      "The temperature in Rich and Lean is:  2530.608104572327 K 1904.4695599816398 K\n",
      "4\n",
      "Mole Fraction of CH4 in Rich and Lean: 423.1613270472001 vppm 4.091560469826479e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 355.47784604701457 vppm 201.50661703603419 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 63699.69660548924 vppm 14.577750600958305 vppm\n",
      "The temperature in Rich and Lean is:  2461.307613621122 K 1904.6582444190346 K\n",
      "5\n",
      "Mole Fraction of CH4 in Rich and Lean: 1309.1086239631609 vppm 6.618642229937512e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 194.86937223124312 vppm 158.06634754732622 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 75103.47821171087 vppm 14.589898057401788 vppm\n",
      "The temperature in Rich and Lean is:  2392.372809835436 K 1904.7600366160964 K\n",
      "6\n",
      "Mole Fraction of CH4 in Rich and Lean: 2937.514200316341 vppm 1.0596320988267202e-08 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 87.4509057479394 vppm 119.58309507818986 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 82109.61090245689 vppm 14.60067116247382 vppm\n",
      "The temperature in Rich and Lean is:  2328.1969144607065 K 1904.8501816253802 K\n",
      "7\n",
      "Mole Fraction of CH4 in Rich and Lean: 5156.652851048285 vppm 1.2703614895288095e-08 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 34.63320745265432 vppm 83.21008148947038 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 85490.63897337328 vppm 14.61085521662802 vppm\n",
      "The temperature in Rich and Lean is:  2269.48658113982 K 1904.9354117254939 K\n",
      "8\n",
      "Mole Fraction of CH4 in Rich and Lean: 7836.914430514642 vppm 1.2131447455251895e-08 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 13.45665482382351 vppm 57.65713112582719 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 86292.82479414468 vppm 14.618007959942021 vppm\n",
      "The temperature in Rich and Lean is:  2215.6712267618536 K 1904.9953234693255 K\n",
      "9\n",
      "Mole Fraction of CH4 in Rich and Lean: 10920.267035555526 vppm 1.0287368428482622e-08 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 5.4102455205818005 vppm 42.2504960857409 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 85465.47438478206 vppm 14.622318126820073 vppm\n",
      "The temperature in Rich and Lean is:  2166.1547616749644 K 1905.0314721385091 K\n",
      "10\n",
      "Mole Fraction of CH4 in Rich and Lean: 14389.871787319318 vppm 8.3102746521592e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 2.2938820838902174 vppm 33.36651436353581 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 83738.75551543618 vppm 14.624801661815065 vppm\n",
      "The temperature in Rich and Lean is:  2120.483522360074 K 1905.0523326109492 K\n",
      "11\n",
      "Mole Fraction of CH4 in Rich and Lean: 18244.338980751716 vppm 6.678220926088461e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 1.0386278692122002 vppm 28.266399758483946 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 81637.95411615481 vppm 14.626226316120594 vppm\n",
      "The temperature in Rich and Lean is:  2078.3405405705375 K 1905.0643169727805 K\n",
      "12\n",
      "Mole Fraction of CH4 in Rich and Lean: 22483.36808862208 vppm 5.482014634961828e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.5087853095400923 vppm 25.31335823030331 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 79520.46245183691 vppm 14.627050677976095 vppm\n",
      "The temperature in Rich and Lean is:  2039.5080002187199 K 1905.0712608760753 K\n",
      "13\n",
      "Mole Fraction of CH4 in Rich and Lean: 27099.280341394835 vppm 4.656398447947988e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.27231411937850447 vppm 23.581464318385983 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 77604.48736830696 vppm 14.627533775509695 vppm\n",
      "The temperature in Rich and Lean is:  2003.8218758313267 K 1905.075334956944 K\n",
      "14\n",
      "Mole Fraction of CH4 in Rich and Lean: 32072.374352166276 vppm 4.099072036359651e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.1595354222470986 vppm 22.55053536177007 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 75994.15272565208 vppm 14.627821230069161 vppm\n",
      "The temperature in Rich and Lean is:  1971.1277805173008 K 1905.0777616236462 K\n",
      "15\n",
      "Mole Fraction of CH4 in Rich and Lean: 37370.258542819385 vppm 3.718962520954994e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.10159709610634274 vppm 21.926192469088182 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 74708.04545209862 vppm 14.627995162972159 vppm\n",
      "The temperature in Rich and Lean is:  1941.248077231395 K 1905.0792316789125 K\n",
      "16\n",
      "Mole Fraction of CH4 in Rich and Lean: 42950.89155946201 vppm 3.449468979500819e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.06947513285751827 vppm 21.54022854575997 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 73710.93245959304 vppm 14.62810260461477 vppm\n",
      "The temperature in Rich and Lean is:  1913.9685109303912 K 1905.080141143556 K\n",
      "17\n",
      "Mole Fraction of CH4 in Rich and Lean: 48767.68380456747 vppm 3.247001234470017e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.05034212857319385 vppm 21.29561995009121 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 72942.80384499181 vppm 14.628170609346807 vppm\n",
      "The temperature in Rich and Lean is:  1889.0440173451832 K 1905.0807180813163 K\n",
      "18\n",
      "Mole Fraction of CH4 in Rich and Lean: 54774.519473861896 vppm 3.0850418084206723e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.03820086219091334 vppm 21.135913689697777 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 72339.8275500018 vppm 14.628214959372254 vppm\n",
      "The temperature in Rich and Lean is:  1866.2153811726766 K 1905.081095528907 K\n",
      "19\n",
      "Mole Fraction of CH4 in Rich and Lean: 60929.30292400733 vppm 2.9482349596006405e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.030069885146948586 vppm 21.027928432418612 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 71845.86676247268 vppm 14.628244858995545 vppm\n",
      "The temperature in Rich and Lean is:  1845.2270941389406 K 1905.0813511336817 K\n",
      "20\n",
      "Mole Fraction of CH4 in Rich and Lean: 67195.73571068358 vppm 2.8279553550500166e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.024373016451924603 vppm 20.951947435907424 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 71416.61975155298 vppm 14.62826579777381 vppm\n",
      "The temperature in Rich and Lean is:  1825.8405960060998 K 1905.0815311620809 K\n",
      "21\n",
      "Mole Fraction of CH4 in Rich and Lean: 73543.72023698136 vppm 2.7194197039166287e-09 vppm\n",
      "Mole Fraction of NO in Rich and Lean: 0.02022766273670984 vppm 20.896103682076205 vppm\n",
      "Mole Fraction of CO in Rich and Lean: 71019.46177927742 vppm 14.628281104538601 vppm\n",
      "The temperature in Rich and Lean is:  1807.841493660173 K 1905.0816636272573 K\n"
     ]
    }
   ],
   "source": [
    "species = {S.name: S for S in ct.Species.listFromFile('gri30.cti')}\n",
    "gas1 = ct.Solution(thermo='IdealGas', species=species.values())\n",
    "\n",
    "phi = np.linspace(1, 3, 21)\n",
    "\n",
    "p_NO= np.zeros(phi.shape)\n",
    "p_CO = np.zeros(phi.shape)\n",
    "p_CH4 = np.zeros(phi.shape)\n",
    "T1_complete = np.zeros(phi.shape)\n",
    "\n",
    "q_NO= np.zeros(phi.shape)\n",
    "q_CO = np.zeros(phi.shape)\n",
    "q_CH4 = np.zeros(phi.shape)\n",
    "T2_complete = np.zeros(phi.shape)\n",
    "\n",
    "\n",
    "for i in range(len(phi)):\n",
    "    fuel = ct.Solution('gri30.cti')\n",
    "    fuel.TPX = 850.0,35*ct.one_atm, 'CH4:1.0'\n",
    "    fuel_in = ct.Reservoir(fuel)\n",
    "\n",
    "    \n",
    "    air = ct.Solution('gri30.cti')\n",
    "    air.TPX = 850.0,35*ct.one_atm, 'O2:0.21, N2:0.79'\n",
    "    air_in = ct.Reservoir(air)\n",
    "\n",
    "\n",
    "\n",
    "    combustor_ignition_gas = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Rich_combustor = ct.Reactor(combustor_ignition_gas)\n",
    "    Rich_combustor.volume = 0.005\n",
    "    \n",
    "    combustor_ignition_gas1 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Quench_combustor = ct.Reactor(combustor_ignition_gas1)\n",
    "    Quench_combustor.volume = 0.005\n",
    "\n",
    "\n",
    "    combustor_ignition_gas2 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas2.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Lean_combustor1 = ct.Reactor(combustor_ignition_gas2)\n",
    "    Lean_combustor1.volume = 0.29/8\n",
    "    \n",
    "    combustor_ignition_gas3 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas3.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Lean_combustor2 = ct.Reactor(combustor_ignition_gas3)\n",
    "    Lean_combustor2.volume = 0.29/8\n",
    "    \n",
    "    combustor_ignition_gas4 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas4.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Lean_combustor3 = ct.Reactor(combustor_ignition_gas4)\n",
    "    Lean_combustor3.volume = 0.29/8\n",
    "  \n",
    "    combustor_ignition_gas5 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas5.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Lean_combustor4 = ct.Reactor(combustor_ignition_gas5)\n",
    "    Lean_combustor4.volume = 0.29/8\n",
    "    \n",
    "    combustor_ignition_gas6 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas6.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Lean_combustor5 = ct.Reactor(combustor_ignition_gas6)\n",
    "    Lean_combustor5.volume = 0.29/8\n",
    "    \n",
    "    combustor_ignition_gas7 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas7.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Lean_combustor6 = ct.Reactor(combustor_ignition_gas7)\n",
    "    Lean_combustor6.volume = 0.29/8\n",
    "\n",
    "    combustor_ignition_gas8 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas8.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Lean_combustor7 = ct.Reactor(combustor_ignition_gas8)\n",
    "    Lean_combustor7.volume = 0.29/8\n",
    "    \n",
    "    combustor_ignition_gas9 = ct.Solution('gri30.cti')\n",
    "    combustor_ignition_gas9.TPX = 3500.0, 35*ct.one_atm, 'CH4:1.0, O2:2.0'\n",
    "    Lean_combustor8 = ct.Reactor(combustor_ignition_gas9)\n",
    "    Lean_combustor8.volume = 0.29/8\n",
    "    \n",
    "    Lean_exhaust = ct.Reservoir(combustor_ignition_gas9)\n",
    "\n",
    "    fuel_mdot = 6.22\n",
    "    air_mdot = 106.948/phi[i] \n",
    "\n",
    "    m1Rich = ct.MassFlowController(fuel_in,Rich_combustor, mdot=fuel_mdot)\n",
    "    m2Rich = ct.MassFlowController(air_in,Rich_combustor, mdot=air_mdot)\n",
    "    \n",
    "    m1Quench =  ct.MassFlowController(air_in,Quench_combustor, mdot=220-air_mdot)\n",
    "\n",
    "\n",
    "    exhaust_valve = ct.Valve(Lean_combustor8, Lean_exhaust , K=1.0)\n",
    "\n",
    "    inter_valve1 = ct.Valve(Rich_combustor, Quench_combustor , K=40.0)\n",
    "    \n",
    "    inter_valve2 = ct.Valve(Quench_combustor, Lean_combustor1 , K=40.0)\n",
    "    \n",
    "    inter_valve3 = ct.Valve(Lean_combustor1, Lean_combustor2 , K=40.0)\n",
    "    \n",
    "    inter_valve4 = ct.Valve(Lean_combustor2, Lean_combustor3 , K=40.0)\n",
    "    \n",
    "    inter_valve5 = ct.Valve(Lean_combustor3, Lean_combustor4 , K=40.0)\n",
    "    \n",
    "    inter_valve6 = ct.Valve(Lean_combustor4, Lean_combustor5 , K=40.0)\n",
    "    \n",
    "    inter_valve7 = ct.Valve(Lean_combustor5, Lean_combustor6 , K=40.0)\n",
    "    \n",
    "    inter_valve8 = ct.Valve(Lean_combustor6, Lean_combustor7 , K=40.0)\n",
    "    \n",
    "    inter_valve9 = ct.Valve(Lean_combustor7, Lean_combustor8 , K=40.0)\n",
    "    \n",
    "    \n",
    "    network = ct.ReactorNet([Rich_combustor, Quench_combustor, Lean_combustor1, Lean_combustor2, Lean_combustor3, Lean_combustor4, Lean_combustor5, Lean_combustor6, Lean_combustor7, Lean_combustor8])\n",
    "    \n",
    "    network.advance_to_steady_state()\n",
    "    \n",
    "    p_NO[i]= Rich_combustor.thermo['NO'].X*1e6\n",
    "    p_CO[i]= Rich_combustor.thermo['CO'].X*1e6\n",
    "    p_CH4[i]= Rich_combustor.thermo['CH4'].X*1e6\n",
    "    T2_complete[i]= Rich_combustor.T\n",
    "    \n",
    "    q_NO[i]= Lean_combustor8.thermo['NO'].X*1e6\n",
    "    q_CO[i]= Lean_combustor8.thermo['CO'].X*1e6\n",
    "    q_CH4[i]= Lean_combustor8.thermo['CH4'].X*1e6\n",
    "    T1_complete[i]=Lean_combustor8.T\n",
    "    \n",
    "    \n",
    "    print (i+1)\n",
    "    print  ('Mole Fraction of CH4 in Rich and Lean:', p_CH4[i], \"vppm\", q_CH4[i],  \"vppm\")\n",
    "    print  ('Mole Fraction of NO in Rich and Lean:', p_NO[i], \"vppm\", q_NO[i],\"vppm\")\n",
    "    print  ('Mole Fraction of CO in Rich and Lean:', p_CO[i], \"vppm\", q_CO[i],\"vppm\")\n",
    "    print  ('The temperature in Rich and Lean is: ',T2_complete[i], \"K\", T1_complete[i], \"K\")\n",
    "\n",
    "    \n",
    "    \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.1 Mole Fraction X${}_{NO}$  vs RQL Equivalence Ratio ${\\varphi }_R$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1920x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure(figsize=(12, 5), dpi = 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "NO_plt=plt.plot(phi, p_NO)\n",
    "plt.title('Mole Fraction vs. Equivalence ratio for Rich')\n",
    "\n",
    "plt.xlabel('RQL Equivalence Ratio')\n",
    "plt.ylabel('Mole Fraction p_NO')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "fig=plt.figure(figsize=(12, 6), dpi = 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "NO_plt=plt.plot(phi, q_NO)\n",
    "plt.title('NO mole fraction vs. Equivalence ratio for Lean')\n",
    "plt.xlabel('RQL Equivalence Ratio')\n",
    "plt.ylabel('Mole Fraction q_NO')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.2 Mole Fraction X${}_{CO}$  vs RQL Equivalence Ratio ${\\varphi }_R$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9sHiQ/RLF/gwasDvLNLOGcPzh2pppY1Sz9H2yn4O4kvBnK2ZptHx4yDkbHaP9uWY6txL7ww+nP/FvCGMlTCP0v43PdW1mlYR+3nB4rT6Epr5rCa/3q8Dnzex+wsB/dwJ/c/eOYeRpyNx9OIWCi6Plk5l2YvDPcKz9H6EveQFwKaHfNxCCePoL6FLOVGJmb6d//IrBVA4hX4nBZrYFInmEVlaprkdDPs+jwChWADLU7/to538wGa97EJ97/g+EsQoGM5TPaijG+ndpOHnJJh8xi4GNKfYZ9P0fRZcAdwPfGkbaxYTWgjCy37DBCjZi36mRjEMhk5Bq9kUEwsi4MVlNkZZB7Ae6xMyOGWLa2ABAdSNort07ivslBySJNdItg6SNBbPpBr1LZTh/BpMHfRp17j7YgG0foD/Q/zVhZOPjCM3JYwM4vTRh/+SC5qnRspncGO3PNdtzd8gBr7t3EgYqBHhD0mBNFxPOBycMqpWctpEQaH6DMHhfMWHgqw8TugfstjCFWPFQ83WExFoiDPYZDbZ9TLn7LvqbKb8xaXPscSthNpABzOxsQsBRSAiA3gycQhisayrhvJuakGQolTbDDTbTXWOGc54n5n2o3/fRzv9gshmo8kZCoN9DKNR5EWFw1Rn0X/v+K9p3rCrYxvp3aTh5yTYfmfIy2gOF3uDuFhU0FhIKJt4X5cWA/zaz5w3juCM5pxON2e+GTG4K9kUEQtO+2A/Nc0d4rMR+lOdnm8jMlhIGVko+xniS+EM+WBPo2Pah/PjH/iA1xv6UZHFbPITjj5XY6NQ3u/sr3P0X7v6Uux9w95ao32qmADLWR3+s/oAOZqw/19EWq7WfQ38XCOhvHn63u9emSuju+9z9vYTa1VMIg739BGgkBFMfp7+P8XgT+35k+xmlkm3/35EGZrHP6IzYrB4WmhXF+pD/Is24Iu8g/JnfBpzj7j9w90fcfa+7N0ffpeHmLTEAO3UI15jaYT5fKonjcQz1+z4e8h8XFWZfGD18l7u/x93/7O617n4w4do31jWx4+n6FTvuUL6jR/xa6u497r7d3b8OvIxQ+J8HfGcYo92P5JwWGXMK9kWE6E9nrA/7+VHfyOH6Nf3Tow1lEKDEfXPd5zad2oT7J6bbKRLrh1ibaacksbECKofRKiInoimfYtPA/TjDrimn3ItsiZanjEqmhq424f5YfK6jyt3vof9ceSOAmcWmZoM0zcOTjtEXBZHfcfc3ADX0B/kXmdlZGZLnSm20HKz10QkZtrUn3M80NV5NNhnK4Fb6g9NYIcx59DefTvcZxb4Dv8rQoibTdymTxDFLsml2PurcvZkwUj4M/fue8/wnScz/cK99o6E24X6ur1+x42abj8Q0OeHuf6d/QMcVhClKh6KW/paCufoNE0lLwb6IxHwxWhrwv5bQuT0TM5sV9VsEwN3r6R9852wzuyKLY6ygf5TlraRo3jpOPEb/iLivS7eTmc0Hzo4e3pVuvxRuT7g/nHnYcyGxxj5ljUg02vI/p9oW+VO0PNPMhtqNJHF8huHOPzzWn+tYiDXTf3U0INnlhO9uBxkG6UonKvD7TMKqkXbnGQuxFj+LzCxTsPeaDNt2Jdw/Lu1eYVaDYYsC9Vih5eXR9TTWhH8ncNgo9pHY9ynTuZzcNSBbj9PfL3ioAc1oin3fXxoVFmZrvOQ/JptrX2IhXCoT7foVO+4aM5uXYb/YqPeHGP689qPp/9HfwuBjQ5kpJSrAuj96eOkIBoQUGRMK9kUEiJdufzd6+ELgh2aWqeYLM3shYc7u5FqwD9Jfe/MdM7sowzGWEEZ1LiFMC/SmaOTZcSfK13XRw5eY2SuS94kC2/+h/4/b94Zw/KcJA7ABfMDMzs+0v5lNNbPkGQOOtL3012C+Ms0+nyDzSNTfJsybbcB1KUbrj0vxJ2x/wv1Mfy7TGuvPdYzEmomXEoLbWO3xr6O++YfJoiBlWcL9rEdJP4J+SH9w9FUzO2wAOzO7Gjg93QE8TCGZMWA0sytJmnZzmGKf0SLCNTUW4PwomgotldiYJxekGjvBzJ7PMAPdaDqwr0YPzzOzj2ba38zyzWxZpn2G6RvRsgy4NtXnmJCH+Pd9HOU/JnEAucOufdHr+h6Zg/iJdv36QbTMJ/SBP6zSwMxeA7w4tn+G78IRE80KERtIcwnpp81M5+vRciFhINS0hlKQIDIaFOyLSKL30D+P9z8DT5vZR83sTDObY2YzzWyVmb3NzO4g1NAsSD6Iu+8mDNLWSAjif2NmPzKzF5tZTdQa4Ewz+yzwKOHH1QlzzN4x5q9yZD4D1Ef3bzazfzezZWY23czOI0wxF/vj9013H2qtxduBPYRao9vN7Jtmdq6ZVUfPcayZvc7MrgXqCCMr50z0RzNWg3mFmX3DzFaa2YzoM74e+CQZRmeOWoO8P3p4FvCgmV1lZkvMrCpavsbMfgR8Lin5FvprtT5oYe7komg6rKH8qRrrz3VUufsz9E+j9Z/018RnasL/OzNbb2Yfis6pudHrO87M3kN/ALAH+EtiQjNba/3Tia0daf4tw7RpCbcBfZ2j68rno4fPI3w/nheda8vN7NPAdxg44GgqsYDk5Wb2nej1TzOzk8zsK8C1DGwyPlx/I3xHIRSkxmYbyfQZxVpFHUu4bp4bXXdXmNknCIWBT40gT/8N3BHd/5yZ/drMXhZdl6vMbJGZXWBmXyAEs+9Ne6Rhcvf1wFeih68E7jWz15vZgigPy83sMjO7jTCGwbjKf4J/0B/wf8PM3m1mS6PftwsJM1y8mMwj00+o65e7PwJcEz18LfDr6ByeHn2unyDMVgFhTvrPjkU+hukrhP8sEGr3s25p4e4/J0zjB/AOM/tzdF7Oi64tJ5jZm6P/TS9NfySRMeDuuummm27xG6FE/tOE0aJ9kFsP4c91RZpjrSLU/A92nJ3Aa0aY709Fx6odZL/Yc64d7rEI/RGfHeQ13QgUDicPwHLCSNyDvW8OvHwY79XaWPqR7JOw72zCn950ebyT0Cw69nhxmuO8j1Bzm+n1fj3D55XqtjhhvzuiddeP9udK6Isd2+f8DO/V+YO9D0P4HN+WlLe9QEGG/WuzOJ/2A+dmOh/SnbdZ5Pf6LM/p2O2w7x/h+vSjDGk2Aq/O9B4T+uqvz3CMm4E3xR4P97OO9v2vpGNvGGT/POC2DHnbQWglk/azyOI8ryB09cjmM/jKWJzn0ev8EqE1V6bnf+9o5n+I5+kdWez7XMKo8eme/0sM/nvyqQzpj8j1K8v3JdvPvojM31EnFMgdlyZ9xtc5jHx7tsdL+iwuG8p5QajY+GEW5+SrhnO+jfb7otvkualmX0QGcPded/8EcAyhOf6fCH8w24FOQmB+O/BRwh+Rt3ros5bqWI8CZxD+fN9EqMVoJvQr3kFoRfAOYLm7j9cRwA/j7o8TBgH7MKGvXgMhSN1JqOW+0N2vcPfu9EfJePzNwKmEkbtvJdQOdhKauu8k1Lp+CFjm7r8e2asZOXffQ5jS7WuEP3HdwEFCzfO7gOczcGC0dMf5GqEf9dcJ/XNj58o2wlRm7+Lwmn0INdtvBe4hfBbDahY61p/rGLiZcE7E/MQzT1l5AeE9/AWhtvEgocDuEOGz+g9ghYcBAMel6Pp0GeG7cRdhJOxWwvnyKUKf5EODHKOdEIx+ivA+dBA+67uBK9z9ErKfwnMwNw3yODlvfYTr5fsIc3Z3ELrJPEFo1XCKu4+kZh8Po/pfDDyH0Irh6eg5egjdNx4gjOFyDmFazVHnYYDIDxIG2vsesJkQNLcSfid+Sxi35LrxmP+EvPwdWE2Y0WIv4Xqxm9AC42XRaxzMhLp+uXtX9B29iHCt2Rnlo4FwnfkQcKK7bxrLfAzT1+i/fnzcQveHrLh7h7tfTri2/JBQuNpB+B17ilDzfyn9gyGLHBHm7rnOg4iIiMiosDDWxd+ih0t8jKZeExERGe9Usy8iIiIiIiIywSjYFxEREREREZlgFOyLiIiIiIiITDAK9kVEREREREQmmAkd7Efzgn/NzDabWYeZ7TezP5jZBYOkO8fMfmVm+8ys3cyeMLP/MLOSQdLVmNl3zWyHmXWa2fZoDt+aQdKVmNknoudpj573V2Z2dhav8XIzu9fMGs2sKbp/2WDpREREREREZOKasKPxm9kqwpRhswlTVj0GVALLol0+6u7/lSLdZcANhLl86wlTqawECgnz8p7v7m0p0p1AmAZoOtAIPAMsjZ7zAHBeqmlGzKyMMAf16YQplB4HqoEawtQ/l7v7T9K8xmsI07UAbCLMv3l89Phb7v7O1O+OiIiIiIiITGQTsmbfzAoI81nOBu4AFrj7Ge6+HHgBYc7Lz5nZc5PSLQZ+QAj0PxSlOw1YTpgj80zC3K3Jz5cP/IwQ6N8CzHP30wkB+y+AGcDNaebr/Aoh0N8EHBs930LCPKn5wLVmtiDFc15KCPRbgRe4+/HufgLwwmjdv5rZ67J5v0RERERERGRimZDBPvBS4FhCjf5ad98X2+DufwU+CxjwyaR0HwSKgdvd/UseNXtw92eBq6N9/sXMZielew1wAqEG/6pYzb+7twJro/UnAa9MTGRmc4E3RQ+vjp4Hd+9z9y8SWiZMAT6Q4jX+e7T8bPSaYq/vL8Dnoof/kSKdiIiIiIiITHATNdg/N1qujwXQSW6JluebWTWAmRnw6mj9D5ITuPu9hNr3QpKCdkKwD/BTd29OStdMqPUHuDgp3SuAAuBJd78vRT5j+RhQQ29mK4ATo4fXpkgXW3eSmR2bYruIiIiIiIhMYBM12J8WLevTbI+tzyM0zYfQdH5udP+eNOli689KWn920vbRTjcvqSl/LN0Wd9+TnMjddxPGDEj1nCIiIiIiIjLBFeQ6A2OkMVqmGwU/cf0K4LeEfvkQmv7vTJNua7SM7YuZFREKChK3p0u32MwK3b076Tjp0tUTBu0rivbdkWW62LaliXkdjJnVZdg8D+ghDFgoIiIiIiIio6sa6Hb3stE42EQN9tdHyzPMbIG770ja/pqE+9OSlg2xvvopHEraF8Jo+3lJ29OlywOmEvrwJx4nZTp3dzNrIHzoic+ZMV2GvI6E5eXlFc6dOzfjNIIiIiIiIiIydLt27aKvr2/UjjdRg/1fEWrn5wH/Z2avd/ddAGb2UuDjCftOiZYl0bIrw3E7k9IkpsuUtjPhfqq0w33OoabLyN3np9tmZnVz586tqavLVPkvIiIiIiIiwzF//nzq6+tHrSX1hOyz7+4dwCWEKfbOA7ab2WNmVg/8BmgA/h7t3hItO6JlUYZDF0fL9oR1HQn306UtTrifKu1wn3Oo6URERERERGQSmJDBPoC73w2cRhiZfjdhKj6Aa4AzCHPYE22D/mbvVdHI/Kmkaj7fCPQlbU+Xrg9oSlifsal9lI+qFM+ZTRP9bJr6i4iIiIiIyAQ0UZvxA+DuW+ifxz7OzAqAk6OHD0bLzdGymND8P9VI/sck7Yu7d5nZdmBxtD3VFHqxdLUJg/PFjnNuwvZkNfTX3m9OWB+7ny5dyryKiIiIiIjI5DBha/YHcQFQTujX/1C0bjv9tfznpkkXW/9A0voHkraPdrqdSYMMxtItM7PZyYnMbA5hJP5UzykiIiIiIiIT3KQL9qOp8j4dPfy2u/dCGPkeuDVan6o1wBrgOKAbuC1p8y+i5evNrCIpXQVwcfTw50npbiNMZ3e8mZ2TIruxfNySuNLdNwFPRg+vTpEutu5Rd386xXYRERERERGZwCZssG9mF5nZWUnrFgC/JPTlfwL4UlKyLxFGuH+xmX0w1nffzBYR+v4DfN/ddyeluwXYBMwArjOz0ihdGXBdtP6x6Lnj3H1ntB3g2uh5sOCDwIsIg/F9OcVL/Ey0/LiZPT/hNT4f+FjSPiIiIiIiIjKJWPop5Y9uZvZ14D2EAepqCdPVHQcYIdB/sbsf1i/fzK4gBOB5hH77e4GVQCGhf//z3L01RbqVhBH+pxEG7dsCLAMqgYPAc9z9iRTpKoA7gVMJBQ2PA9WE/vq9wJXu/qM0r/G7wFuih7Ga/uOj5TXu/vaUb84wmFldTU2Npt4TEREREREZA9HUe/WZpkQfiglbs0+oRf8pIfA+njDo3nrg/cBpqQJ9AHfpF2IfAAAgAElEQVS/EXgOYYq+KcAJwFbgU8B5qQL9KN1jhEH/vk+Yzm9VtPwecHKqQD9K10zom/8pYFv0fCXArwkFBCkD/SjtvwBXAvcDC6Lb/cAVoxnoi4iIiIiIyNFlwtbsy+hSzb6IiIiIiMjYUc2+iIiIiIiIiGSkYF9ERERERERkglGwLyIiIiIiIjLBKNgXERERERERmWAU7IuIiIiIiIhMMAW5zoCIiMiR5u4cautmT1MHe5o62NfcyZSifOZMLWH21BKqpxZTXJCf62yKiIiIDJuCfRERmTDcnab2HvY0d0SBfCd7mjrYG7vf3MHepk72NXfS1duX8VjTy4qYPbWE2VOL44UAs6eWMKeyOH5/emkReXl2hF6diIiISPYU7IuIyLjn7jR39rC3qTME7s2JgXxYxgL5zp7MQXy2DrZ2cbC1iyd3pd+nMN+orihhTmUoFJg9tSSpYCCsLy3Sz62IiIgcWfr3ISIiOdXa2ROC9ubk4H1grXx7d++Y5aEoP2/Qmv5Uunud+oZ26hvaM+5XUVLAnCj4D4UDobVAdVQ4MKeyhJnlxeSrlYCIiIiMEgX7IiIy5uob2vnzE3vY2dDe37w+qolv6ewZs+eN1bxXTy1mdkWoZa+O17xHzfErSpg6pYDuXmdv1Px/d2NnvD//7qYOdjeGwojdjR3DKnRo7uihuaOFzXtb0u6TZzCrIrnLQFgumVnKifMqKSnUOAIiIiKSHQX7IiIyJtyd+7Ye4IZ7a/nTE3vo89E7dn6eMau8OCF4jwXzUWAfBctVUwqz7lNfVGDMn1bK/Gmlafdxd5o6etibUAgQK7zYHSscaOxgf0vnkF9vnxN1TegEGg/bXpBnnDBvKqcuqOLUhdM4ZUEVi2aUYqbWACIiInI4cx/Ff18yYZlZXU1NTU1dXV2usyIi41xbVw+3bqjnxnuf5ak9zUNKawYzoyB+dkVJfyAfLWO19DPKxneT957ePva3dMULAGKFALujbgq7mzrY09hB8whbNUwrLeTUhdM4dUEVpyys4uQFVUwtKRylVyEiIiJH0vz586mvr6939/mjcTzV7IuIyKjYfqCNm+6v5eb1O2jqODyIzc8zlleXh6bpCU3qqyv6a+JnlhdRkJ+Xg9yProL8POZUhmb4mcTGK+gvFOiMtxbYnTB+QU+aZgKH2rr566a9/HXTXiAUliybVc4pUe3/qQurOHZ2xbguGBEREZGxoZp9yYpq9kUkFXfn7i37ueHeWv6yaS+pflKmlRbyhtULufzsRcyrmnLkM3mU6+nt4+k9LWzYcYgN2xvYsP0Qz+xrzTp9aVE+J82vHNACoLoicyGEiIiIHHmjXbOvYF+yomBfRBK1dPbwi4fquOHe2rSB58qaqVx5zmJefvI8DSw3yhrbunmkriEE/zsO8fCOBhraurNOX1M1hVMX9vf9P3HeVH1GIiIiOaZgX3JCwb6IAGzb38qN99Xy83/UpexvXpBnXLhyDledu5jTFk7T4HFHiLtTe6CNDdtD7f/DOxp4cldT2ub/yQrzjRPmVUaD/1Vx6oJpLJg+RZ+fiIjIEaRgX3JCwb7I5NXX59y5eR833FvLHU/tS7nPzPIi/nn1Qi47exGzp6qJ+HjQ3tXLYzsbeTiq/d+wvYFdjR1Zp59RVsSpC6vi/f9Pml9JhQb/ExERGTMK9iUnFOyLTD5NHd38/B913HT/s2zbn7qp/skLqli7ZhEXrZpLcYGagY93uxs7eDje97+BjfUNdHT3ZZXWDJZXl3PqgmnxLgDLqss1+J+IiMgoUbAvOaFgX2Ty2LK3hRvvq+WWB+to7eo9bHthvvHSVXO5cs1iTl047chnUEZNd28fT+1uZsOOMPDfwzsa2DqEwf/KivI5deE01iybwXnLZnLivEoF/yIiIsOkYF9yQsG+yMTW2+f8bdNebrivlrs270+5T3VFMZedtYg3nLVAo7lPYA1tXTy8oyHe93/D9kMpp1JMpXJKIeccM4Nzl8/kvGUzWTyjVP3+RUREsqRgX3JCwb7IxNTY3s3P/rGDG+97lu0H21Luc/qiaVy5ZjEXnjiHooK8I5xDybW+PmfbgdYo+A9dADbtbqY3i8H/aqqmcO6yGZy7bCZrls5kVkXxEcixiIjI0UnBvuSEgn2RieXpPc1cf28ttz5UT3v34U31iwryePlJ81i7ZjGr5lfmIIcynrV19fBYfRMPbT/Efc8cYN22gynPo2THzang3GWh1n/1kumUFRccgdyKiIgcHRTsS04o2Bc5+vX2OX96Yg833FvLfVsPpNxnbmUJl5+9iEvPXMCMctXCSnY6e3rZsL2Be7bs554t+3mkrnHQmv+CPOPUhVXx4P/kBVUU5qvliIiITF4K9iUnFOyLHL0OtXZx8z92cNN9z1Lf0J5yn9WLp7P23MW8+ITZFCjgkhFq6ujmga0HuWfLfu7esp8te1sGTVNWlM/Zx4Qm/+cum8mxs8vV319ERCYVBfuSEwr2RY4+T+xs4oZ7a/nlw/V09hw+vVpxQR6vOqWGK9cs5oR5U3OQQ5ksdjd2cO8zIfC/Z8t+9jR1DppmVkUx5y7tD/7nVU05AjkVERHJHQX7khMK9kWODj29ffzx8dBUf13twZT71FRN4Y3nLOKSMxYwrazoCOdQJjt355l9Ldyz5QB3b9nP/c8coLlz8NH+j5lVxnnRQH/nLJ1B5ZTCI5BbERGRI0fBvuSEgn2R8e+n63fwtT8/za7GjpTbzzlmBmvPXcwLj5+tudBl3Ojp7WNjfSP3bA41/w9tP0R3b+b/JnkGq+ZXcV400v9pC6dRUph/hHIsIiIyNhTsS04o2BcZv/r6nM/97km+f/e2w7ZNKczn1afVcOU5i1kxpyIHuRMZmrauHtbXHgr9/Tfv54ldTYOmKS7IY/WS6fHB/k6YO5U8FWiJiMhRRsG+5ISCfZHxqaO7l/f/7BF+u3HXgPULp5dyxTmLuPj0BVSWqrmzHL0OtHRy39YD3LNlP3dt3k/dodSDTCaaVlrIOVF//+csm8XCGaVHIKciIiIjo2BfckLBvsj409jWzVtu+gfrtvX3zS8ryue/XnsSF62aq6b6MiFtP9AWBvp7Zj/3btnPobbuQdMsmD6F85bN5Lxls1izdIbGqhARkXFJwb7khIJ9kfGl7lAba69bP2BKs1kVxVy39kxW1lTmMGciR05fn/PErqb4FH/raw/S0X34zBOJzODEeVM5b9kszls2kzMWq7+/iIiMDwr2h8jMqoEPAS8BlgB5QD3wF+CL7r4lTbpzgI8Aa4ByYBvwY+BL7p569KuQrgb4ZPR81cAe4PfAp929PkO6kiifl0b5bAHuBT7v7vcP8hovB94BnAgY8BjwLXf/UaZ0Q6FgX2T8eHxnI1ddt569zf3Tly2dVcYNV69m/jQ1V5bJq7Onl4eebYgH/xvrGugb5G9OUUEeZy6eFg/+T5yn/v4iIpIbCvaHwMxWAH8nBN3dwNZouQwoAdqAi9z9zqR0lwE3APmEgoG9wEqgEFgPnO/ubSme7wTgLmA60Ag8AywFKoEDwHnuvilFujLgTuB0oAt4PMpzDdALXO7uP0nzGq8B3ho93AQ4cHz0+Fvu/s5M71G2FOyLjA93bd7H2256kNau3vi6MxdP43tXnEFVqZomiyRqbO/m/q0HuHvzfu7Zsp+t+1sHTVNVWsi5S2fGB/tTf38RETlSFOwPgZn9GXgBcA9wqbvXRetnANcCryDU2C/16I0ws8WEoLmYUNP+ZXd3M1sE/BFYQYog2szygY3ACcAtwBXu3hYF8jcCr4m2n+rufUlpYwH7JuBCd3/WzPKADwBfANqBFe6+IyndpYTWBq3AK9z9r9H6FwC/AsqAi93958N+E/ufS8G+SI7d8mAdH75lIz0JVZUXrZrDV19/ipohi2ShvqE9PsXfPVv2c6C1a9A0C6eXhoH+ls/knGPU319ERMaOgv0smVkp0Exotn+Suz+atH0aobbdgBPc/clo/bcITeJvd/cLktKsIRQcdAML3H1PwraLgZ9Gx1zi7s0J2yoIhQozgNe4+60J2+YC24ECYI2735f0nLcDLwL+293fk7TtMULT/Y+5++eTtn0M+Cyw0d1PHvwdy0zBvkjuuDvf+tsWvnz70wPWv+m8JXz8ouPV5FhkGPr6nE27m8Mo/1v2s27bgaz6+6+cV8l5y0Ot/+mL1N9fRERGj4L9LJlZFXAoelju7oe13TOz/YQA/CR3f9TMjNBsfy5wibv/NEWaJ4HjgLe6+3cT1v+Y0N/+2+7+jhTpvg28Dfixu/9zwvq3AtcAT7r7CSnSXQL8BNjp7jUJ61cQWgIAzEkseIi2zwFic3GtcPeBUcIQKdgXyY2e3j7+41eP8+N12+PrzODjFx3Pm59zTA5zJjKxdPb08uCzh6L+/gd4NIv+/sUFeaxeMj3e5P+EuervLyIiwzfawX7BaBxkPHL3BjPbASwgDLL3p8TtUbA8A2gANkerFxICfQg1+KncQwj2zwK+m7D+7CzSvS1KlyibdADzzGxBQlP+WLotyYE+gLvvNrPYmAFnASMK9kXkyGvr6uGd/7eBv27aG19XVJDH115/Ci89aW6GlCIyVMUF+axZOpM1S2fywQvC1Jb3bQ1N/u/evJ/aA4cN1UNnTx93bd7PXZv3AzCttJA1UeB/3rKZLJiu/v4iIpI7EzbYj/w7YaC9a83svcAdQA8hUP46YTC7DyWMrr88WnYCO9Mcc2vSvphZEaGgIHF7unSLzazQ3WMTAy9P2p6snjBoX1G0byzYHyxdbNvSxLxmYmaZqu3nZHMMERkd+1s6ufr69Wysa4yvq5xSyPeuOIPVS6bnMGcik0NlaSEXrpzLhStDwdqOg23xUf7vfeYAB1P09z/U1s1vN+7itxtDw7pFM6L+/stmcs7SGRpEU0REjqgJHey7+41m1gL8B5A8SN1Gwkj8f0hYNy1aNnj6/g2HkvaFMNp+XtL2dOnygKmEvv2Jx0mZLhocsIEwOn/ic2ZMlyGvIjLObdvfypXXrmP7wf6axJqqKdxw9Zksq67IYc5EJq8F00u5dPVCLl29kL4+54ldTfHgf922g3T2HN7f/9kDbTx7YDv/98B2zGBVTWW81v809fcXEZExNqGD/agP/jGE5vq9hEHyughT760E/sXM1rn7wShJSbTMNDxvbGLrKQnrShLup0vbmXA/VdrhPudQ06WVqW9IVOtfk267iIyOh7Yf4k3Xr+dQW3d83YnzpnLd2jOpnlqSIaWIHCl5ecbKmkpW1lTy1uctpaO7l4eePcRd0Sj/j9Y3klxl4A4b6xrZWNfI/97xDMUFeZy2cBqrl0xn9ZLpnLqwitKiCf23TEREjrCJ/qtyDfAvwL3Ac929FsDMqoEfAK8GlprZae7eC8Sa82dqZ1ccLdsT1nUk3E+Xtjjhfqq0w33OoaYTkXHq9sd3864fbxhQQ/jcY2fxv5edRnnxRL9cixy9SgrzWbNsJmuWzQSgoa2Le585EJ/i79k0/f3v23qA+7aGhn4Fecaq+ZWsXjKds5ZM5/RF06mcUnhEX4eIiEwsE/bfo5mdDLyFME3epYlz1Lv7XjO7DHgGOAl4PWG++liz9yozszRN+VM1n28E+ghN9NM1mY+t7wOaEtZnbGoftU6oSvGc2TTRz6apv4iMAzfdV8snb3t8wOjfrzt9Pp9/zSoK8/PSphOR8aeqtIiLVs3lolX9/f1jA/3d88x+GhJa7sT09DkbtjewYXsD37lzK2Zw/Jyp8Zr/MxdPZ1ZF8WHpRERE0pmwwT5wLmDA04mBfoy7N5nZOuAi4AxCsB8blb8YmEcYHC9ZbK6r2L64e5eZbQcWR9vvy5CuNmFwvthxzk3YnqyG/tr7zQnrY/czzb11WF5FZHzp63O++MenuObOZwasf/cLlvO+Fy4nlPeJyNFswfRS3rB6IW+I+vs/vrOJ+7ceYF3tQdbXHkwZ/LvDE7uaeGJXE9ffWwvAMbPKOCsK/lcvmUFNVVa99EREZJKayMF+NqNYxf5FxzrCbgd2E0aePxf4aYo050bLB5LWP0AI9s8FfjTEdGsTtqdLtzOp0CJ2nGVmNjt5+j0zm0MYiT/Vc4rIONDZ08uHfr6RXz3cP/lHfp7x2Vet5NLVCzOkFJGjVV7UXH/V/Ere8txj6OtzNu9tYd22Azyw7SDrth1kb3NnyrRb97WydV8rP14X/g7UVE2J1/yvXjKdY2aWqYBQRETiJnKwH6vNPjZpfnoAzGwqcGb08GmIj3x/K/B24E0kBftmtgY4jtA14Lak5/sFcAnwejP7sLs3J6SrAC6OHibPCnAb8E3geDM7x92TWwW8KVrekrjS3TeZ2ZPA8cDVwOeT0l0dLR9196cRkXGlsb2bt930YLy/LsCUwnz+97LT+KfjqnOYMxE5kvLyjBVzKlgxp4I3nrMYd+fZA22sqw2B/7ptBwfMzJGovqGdWzfUc+uG0BBxZnlRCPwXh5r/FXMqyM9T8C8iMllZ+hnmjm5mVk4YfX8mYYC+y1IM0PcywkB3y9y9Ptq2BNhEaDr/IeDLUSHAIuCPwArg2+7+jqTnywceIxQG3AJc4e5tZlYG3AC8Ntp+srv3JaX9LmF8gU3Ahe7+bNRX/wPAF6M8rnD37Unp/pnQiqAVeIW7/zVa/3xCIUIZcIm7p2qhMCRmVldTU1NTV1c30kOJTHq7GttZe+16ntoTLxNkZnkR1649k5PmV2VIKSKT0a7G9njgv772IE/vackqXUVJAWcu7q/5X1VTqTFARETGsfnz51NfX1+faZa0oZiwwT6Amb2EUONeQph6byuhVn4ZIZjvAd7s7jckpbsCuI4w4F49sJcwVV8h8CDwPHdvTfF8K4G/EwbGawS2RM9VCRwEnuPuT6RIVwHcCZxKmErvcaCa0F+/F7jS3VN1DUgsKAB4MloeHy2vcfe3p32DhkDBvsjo2LS7ibXXrmd3U/8kHktmlnHDVatZOKM0hzkTkaPFwdYu1ifU/D++s3HA4J7pTCnM57RFVfECgFMXTGNKUf7YZ1hERLKiYH+IzOxY4P3A84EFhH76uwhB+dfd/aE06dYAHwXWEGrIawmD+H3B3TtSpYnSLQA+AbwEmAXsA34HfNrd00bKZjaF0JLgDYS+/y2EFgmfT9G0PzntFYSuByujVY8B/+vuN2VKNxQK9kVG7t4t+3nrTQ/S3NkTX3fawiq+f+WZTC/LNIumiEh6zR3dPLS9gXXbDrBu20Ee2dFIV2/foOkK842T5lfFa/5PXzSNqSWa7k9EJFcU7EtOKNgXGZlfPVzPB372CN29/dfcC06czTcuPZWSQtWsicjo6eju5eEdDfGa/4e2H6Ktq3fQdHkGJ8ybypmLp3PKgipOnl/FohmlGvRPROQIGe1gfyIP0CciknPuzjV3buULf9g0YP2V5yziEy8/UYNnicioKynM5+xjZnD2MTMA6O7t4/GdTfGa/3XbDtLU0XNYuj6Hx+qbeKy+Kb6uoqSAVTVh9oCTaqo4aX4l86dNUQGAiMhRQDX7khXV7IsMXW+f85+/fpwb73t2wPqPXXQcb3nOMfqzLCI50dfnPL23mXXbDsan+9uXZrq/VKpKC1lVU8lJ8ytZFRUAzK0s0TVNRGSE1IxfckLBvsjQtHf18u6fbOBPT+yJryvMN7588cm88pSaHOZMRGQgd6f2QFtU83+IB589SO2B1NP9pTOzvChqAVDFSVFBQPXUkjHKsYjIxKRgX3JCwb5I9g62dvGmG9azYXtDfF1FSQHfeePprFk6M4c5ExHJTmN7N4/XN7KxvpFH6xrZWN/AjoPtQzrG7KnF8Zr/0A2gkhnlxWOUYxGRo5+CfckJBfsi2Xn2QCtrr1vPtv39s3POrSzh+qtWs2JORQ5zJiIyModau3i0vpFH6xvZWNfAo3WN7GxMO0FRSjVVU/rHAJhfyaqaSqpKNRuJiAgo2JccUbAvMrhHdjTwphvWs7+lK77uuDkVXH/VauZUqjmriEw8+5o7eay+kY11jTxa38AjdY1D6v8PsHB6abzmf9X8SlbWVGoKQBGZlBTsS04o2BfJ7K+b9vCvP9pAe3f/9FbnLpvBty8/XX9aRWRS2dPUEYL/ugY2RgUBB1u7Bk+Y4JiZZayKav5Pml/FifOmUlasSaREZGJTsC85oWBfJL3/e2A7//7LR+lLuJy++tQavvDakygqyMtdxkRExgF3Z2djRwj+62LdABppbO/O+hhmsGxWOavmV3LcnAqWV1ewrLqcmqop5GkKUxGZIEY72FcRqYjIMLk7X/3T03zzr1sGrH/H+Uv54AUrNA2ViAhgZtRUTaGmagoXrpwLhOvnjoPtbKwPff831jXyWH0jzZ09KY/hDpv3trB5b8uA9SWFeSydVc7y6nKWVZezLCoEWDSjlMJ8FbaKyOSmmn3Jimr2RQbq7u3jI7c8yi0P9X8n8gz+85UreePZi3KYMxGRo1Nfn1N7oDVe8/9oXSOP7Wykrat38MRJCvONxTPKWD67nGWzylk2u4Jls8o5ZlYZJYX5Y5B7EZGRU82+iEiONXd0844fPcRdm/fH15UU5vHNN5zGi06YncOciYgcvfLyjGNmlXPMrHJeeUoNAL19ztZ9LfHm/4/VN7J5b8ugXQC6ez1lS4A8gwXTS1leXc7S6vJ4d4Bl1eWUa0wAEZlgVLMvWVHNvkiwp6mDq65bzxO7muLrppcV8YMrz+DUhdNymDMRkcnB3dnf0sWWvS1s2dvMliio37K3hb1DnAkg0dzKknjgHysEWF5dzrQyTQ0oIkeGavZFRHLkYGsXr/32vdQdao+vWzSjlBuuWs3imWU5zJmIyORhZsyqKGZWRTHnLJ0xYFtjWzdb9h1eCJB43U5nV2MHuxo7BrTaAphRVpRQCBDGBVg+u5zqimKNzSIi45qCfRGRLLg7H/3FxgF/GE9eUMUPrjyDmeXFOcyZiIjEVJYWcvqiaZy+aGBLq7auHrbua2Xz3mY272mJWgW08OzBNnr7MrdyPdDaxYFtB3lg28EB6ytKCkIhwKzyMDZAdTmLZ5Qxr2qKxgUQkXFBwb6ISBZueaiePz6+J/74vGUz+e4Vp1NapMuoiMh4V1pUwMqaSlbWVA5Y39nTS+3+tqgVQHO8EGDrvla6evsyHrO5o4cN2xvYsL3hsG3VFcUsmF7K/GlTolu4v2BaKXOrSiguUGGAiIw9/UsVERnEjoNtfOq2x+OPZ5QV8fVLT1GgLyJylCsuyGfFnApWzKkA5sbX9/T2seNQ+2GFAFv2tmQ1O8De5k72Nnfy4LOHDttmBrMrSuIFAf2FAmE5t3IKRQWaNlBERk7/VEVEMujtc97/00doSZj7+b9ee5Ka7ouITGAF+XksmVnGkpllA2ZZcXd2NnaEQoA9zTyzr4XNe1qymiGg/xiwu6mD3U0d/CNNYcCcqSUsmJaiZcD0UuZUllCYr8IAERmcgn0RkQy+f9dW1tX299O89MwFml5PRGSSMjNqqqZQUzWF5x07K77e3TnQ2kXdoXZ2HGyj7lA7dYcGLjt7MncL6D9W/2CB62oP355nMLdyCjWxlgHTklsGlFCgwgARQcG+iEhaT+xs4su3PxV/vHB6Kf/+shNymCMRERmPzIyZ5cXMLC/mlAVVh213d/a1dEbBf38BwI6DbdQfaqeuoZ2uLAsD+hzqG9qpb2hn3bbDt+fnWWgZML2/AGD+tFLmVZYwq6KY6ooSpk4p0EwCIpOAgn0RkRQ6unv5t58+THdvGKU5z+Brl5xMebEumyIiMjRmRnVFCdUVJZy2cNph2/v6nP0tnexI0SKg7lA79YfaBx0wMKa3z+OFAXAw5T7FBXlR4F8cLwCoriimemq4H9s2o7yY/DwVCogcrfSvVUQkha/+6Wk27W6OP37H+cs4fdH0HOZIREQmqrw8o3pqCdVTSw6bNhBCYcDe5s6UBQE7DrWxs6E9Xjidjc6evnj6jPkymFFezKzyWEFAVDAwNXFdKBzQdIMi44+CfRGRJPc9c4Dv3bU1/nhlzVTe/YLlOcyRiIhMZnl5xpzKEuZUlnDG4sO39/Y5e5s74gUBOw4OLBDY2dBOT1/2hQExfQ77mjvZ19zJE7sy7zu1pKC/lcDU1K0GZlWUMLVEXQhEjhQF+yIiCZo6uvnAzx7Bo/9ExQV5fO31p2gaJBERGbfy84y5lWHavjMXH94KrbfPOdAagva9zZ3sa+pkb3NHuB+t29vcwd6mzqwHEkzW1NFDU0cPz+xrzbhfYheCWMHAjLJippcVUlVaxPSyIqpKC5leVsS00iK1GBAZAQX7IiIJPnXb41E/x+AjLzmO5bMrcpgjERGRkcnP6x8z4MQM+7k7TR097EssCEhVMNDUQVNHT4YjpZdtF4KYKYX5TCstZFoU/IdlYbifsD6xkGBKYb5aD4igYF9EJO53j+7iFw/Vxx+ft2wmV56zOHcZEhEROYLMjMophVROKWRZdeaC7o7u3v6WAlFhQKxgoL+1QCcHWjoZRg+CuPbuXtobe9nZ2JF1mqKCPKaXDmwhMK0sVkAw8H6skKC8WN0LZOJRsC8iAuxt6uBjtz4afzy1pIAvXXwSeRqFWERE5DAlhfksmF7KgumlGffr7XMOtHQmtAzoiAoF+lsMHGzt4lBr17BbCyTr6uljd1MHu5uyLyAozLfQjSAqJEhsRTB1SiFTSwqpKCmI7hfE102dUkBxgboayPikYF9EJj1354M/30hDW3d83WdevYq5lVNymCsREZGjX37CTAOD6ento6G9m4a2Lg62dnOoLRQCHGpLvB89ju43tHfHx9kZie5ejw9GOFTFBXkpCgH6H1eUFBy2LlZQMLWkUOMSyJhRsC8ik94PH9jOnU/viz9+xcnzeMXJ83KYIxERkcmnID+PmeXFzCwvzjpNb5/T1B4VBrR1cai1m4NtXfflFFsAACAASURBVPECg7DsoqGtf/2htm56R9K3IElnT9+wCwogdDtIDP4HFhCkLiionFJARUnoflBapDEKJDUF+yIyqW3d18Jnf/tE/PGcqSX8v1euzGGOREREJFv5eRaa25cVZZ0mNhDhgIKAeKuBpJYDbd00d/TQ1BGWY6Grp4/9LZ3sbxleYUGeQVlxARXFBZSXFFBeXEB5SSHlxfnhfnEh5SX92w/bt7iAimh9Yb5mH5pIFOyLyKTV3dvH+25+mI7u/mmGvnzxyVSWFuYwVyIiIjKWEgciXDSjLOt0vX1OS2cPTe3dNHV009TeEy27w9SDKdbHCgqa2rtp7uwZlS4Hyfocmjt6QmFE48iOVVyQR0W8wKAgXlgQCgPy4/djhQSxQoSyhPvlJQWaEWGcULAvIpPWt/62hUfq+n8Vrzp3Mectn5nDHImIiMh4lZ/XX0gwHH19TktXVCgwlIKChPVjUViQqLOnj86WLva3dI3oOHkGZUWhEKAsamFQGj0uL86PluFxaVF+/H5sWVacH09fXlxASWGeCg+GQcG+iExKD+9o4Jt/3RJ/vKy6nA9feFwOcyQiIiITWV6ehf73JYUwbejp+/qc1q6e/sKB9m5au0KNfktnDy3Rsrmjh9bOaF3n4dtbOsemO8KAvDo0d/bQPErPFeuqEAoA8hMKBQri4xYMXJdPadHAwoP4/aLJU3gwYYN9M1sMbMty9/Pd/c6k9OcAHwHWAOXRsX4MfMnd087jYWY1wCeBlwDVwB7g98Cn3b0+Q7oS4EPApcASoAW4F/i8u9+fKfNmdjnwDuBEwIDHgG+5+48ypROZrNq6enjfzQ/HB+cpyDO+fskpGg1XRERExq28PKOipJCKkkJqqoY/Y1Bfn9PW3RsF/90DCgOaO6OCgljBQWIhQeL2zh6aO7rp7h3jpgaxPCd2VRgF+XnGj99yNquXTB+V441XEzbYBzqAezJsnwscE+33cOIGM7sMuAHIB+qBHcBK4NPAy83sfHdvSz6gmZ0A3AVMJ/SYeQxYCvwL8FozO8/dN6VIVwbcCZwOdAGPEwoKXgG81Mwud/efpHoRZnYN8Nbo4SbAgXOAc8zsHHd/Z4b3QGRS+vzvNrFtf2v88ftedCwraypzmCMRERGRIyMvz+J97mHwKREz6ezpHdCioCUqDGju6KG1K1Yw0EtrtL61qzdeWJC8rq2rd3ReYBZ6+5wpk6CSZ8IG++6+Gzgv3XYz+yEh2L/N3RsT1i8GfkAI9D8EfNnd3cwWAX8EzgS+CLwz6Xj5wM8Igf4twBXu3hYF8jcCrwFuNrNT3b2Pgb5CCPQ3ARe6+7Nmlgd8APgCcK2Z3ePuO5Ke81JCoN8KvMLd/xqtfwHwK+BfzewOd/95Nu+ZyGTwt6f2ctP9z8Yfn75oGm997jE5zJGIiIjI0am4IJ/i8nxmDGG6xHR6+5y2rh5aO3tp6eyhrStWKNBfQBDW9RcetCQVGCQWLrR3Zy48KCue+MG++ViP8jAOmVk5sBsoA17u7r9J2PYtQpP42939gqR0awitBbqBBe6+J2HbxcBPgQPAEndvTthWQegGMAN4jbvfmrBtLrCdUPCyxt3vS3rO24EXAf/t7u9J2vYYoen+x9z980nbPgZ8Ftjo7icP4e1Jyczqampqaurq6kZ6KJGcOdTaxYu//vf4PLilRfn8/j3PGdJIvCIiIiIy/iUXHiS3JHjRCbMpKx5fdd/z58+nvr6+3t3nj8bxJutEiq8hBPr7gD/EVloYpeHV0cMfJCdy93sJte+FwCtTHBPgp4mBfpSumVDrD3BxUrpXEAL9J5MD/aR8vC5xpZmtIAT6ANemSBdbd5KZHZtiu8ik4u587NZH44E+wCdedoICfREREZEJKD8a42BOZQnLqss5eUEVa5bN5EUnzOZVp9aMu0B/LEzWYP/yaPkTd08c5WEhoS8/pO/vH1t/VtL6s8c43TwzW5Ai3ZbEFgYxUTeGZ9I8p8ikc+uGen7/2O744xceX80lZy7IkEJERERE5Og18YszkkTN5l8QPbwpafPyaNkJ7ExziK1J+2JmRf+fvTuPk6sqEz7+e7JDSNgh0NnYwio7CAEUWZQZHQUURVQUENRxXBgHnRmXcXzddUR0dBAVUFFZRBadcUFAkX1RkB0CZAfClpCE7HneP+6t6qKo6u6Erq7u9O/7+eRz69x7nnuf6nd4Pz51zj2H4oeC2uvN4iZHxPDMXFF3n2ZxcygW7RtR9q28t99dXOXadrW5diUiupqjP64n95D6o9nPvcB/XHFvtb3p6BF86djdB8WWK5IkSRqcBuPI/jsovveDmXlb3bXKjpfzs/liBs/V9QXYkM6/5XM0Vjk/BBjb4JkN48o85jd4ZpdxXeQqDSqrVycfu/iuF+3z+qVjX8HmY17+QjKSJElSfzXoRvbpnMJfP6oPnXtPLO8ivvLCb+3mlrV7VjSLXVbzuVHs2j5zTeOa6mohiHLUv6Mn95H6kx9e/xi3PPZstf22fSfw2l2dqCJJkqR1W58X+xGxD/B6YGvgeeAu4DeZ+WyXgb3z7FcAe1DsRX9Bgy5Ly+OILm5TGQ5c0iCuq9jaYcRGsWv7zDWNkwaNB554nq/97sFqe8Im6/Hpf9iljRlJkiRJfaNPi/2I+B/gNKD+RdmlEfF9ii3kFrcwhXeVx+syc0aD65Vp7xtFRDSZyt9o+vwCYDXFFP1mU+Yr51dT/MhR/8yGceUOARs1eGZPpuj3ZKq/tE5atnIVH73wTpavWg3AkIAz37onGwyClVclSZKkPntnPyI+CLwP+C7wCor31ren2MLu1+W1OyKiJVPFI2II8Pay2WgKP8DD5XEkxcyDRrat60tmLgdm1l1vFje9ZnG+2vs0i+ugc/T+4Zrz3cU1zFUaLL5x1UM88ETnLpjvf/V27Dt5kzZmJEmSJPWdvlyg71Tg+5n5ocy8NzMXZeajmfmrzHwrsDewEvh9RLRi5azXAOMppr//okmfmUBlb66DmvSpnL+l7vwtddd7O25uZs6qOV+J2z4itqwPiohxFCvxN3qmtE675dFnOOe6zo0qdtlqLB89YkobM5IkSZL6Vl8W+1OAy5tdzMz7gCOBTYCPtOD5lSn8V2bmgiY5JHBZ2Tyl/npETAV2AlYAV9Zd/mV5fGtEjKmLGwMcVzbrf2i4kuJHjp0j4sAGaVXyuLQu1weA+8vmyQ3iKufuzsyHGlyX1kkLl67gny++i8pLOCOGDeGbx+/JiGGDcfMRSZIkDVZ9+b9+l3T3vMx8HPg2ndPte0VErAccWzabTeGv+BrFCvevjYgzynfmiYhJwLllnx9k5hN1cZcCDwCbAudFxPpl3GjgvPL8PdT94JGZc8vrAOeWzyEKZ1D8ALIU+HqDXD9fHj8ZEYfVfN/DgH+v6yMNCv/5q/uYM79zTcpPHLUTU7Yc00WEJEmStO7py2L/TuCIHvS7heJd/t50NDAGeAr4bVcdM/MxilcOVgNfBWZFxF8o3nvfEbgDOKNB3CqK0fvngDcDcyPidmBO2X4WeFtmrm7w2I8Bf6WYNfBQ+bxZ5fNXAe/NzJn1QZn5M+D7wGjg6oi4LyLuA64uz52dmRd39X2ldclv73mcX9wxu9qeut2mnDR1cvsSkiRJktqkL4v9HwCnRsS+3fTbmKLQ7k2VKfwXZubK7jpn5o+BQygWDlwP2AV4FPgscHCzHQMy8x6Krf1+ACyiWIhwEUVBvkf5qkKjuIUU7+Z/FnisfN4o4FfAIZn50y5yPQ14N3AzMKH8dzNwYmZ+oLvvKq0r5i1cyr/98u5qe8yoYXz9uD0YMqR+8w9JkiRp3ReNd5dr0cMirgBeBZwO/KjR1nYR8XtgaGYe3meJqVsRMbujo6Nj9uzZ3XeW+lhmcvL5t3Htg09Vz511/J68ac+WbO4hSZIk9brx48czZ86cOZk5vjfu19cbTh8H/Izi3ffPRsRPKBaZexqYSLGo3P7AUX2cl6QB7Ge3znxRof+G3bfijXs02z1TkiRJWvf1abFf7kf/loh4K/AJ4JOVS0BQFP0nZuYf+jIvSQPXY08v5vO/vr/a3nLsSD5/9G6Ua2tKkiRJg1Jfj+wDUC4ad3FETKB4x30MxUJ2t2TmsnbkJGngWblqNadfdCdLVqyqnvv6cXuw0foj2piVJEmS1H59VuxHxLbAd4BvZ+b/AWTmLIpV5yVpjX33j49w56z51fZ7pk7mkB02b2NGkiRJUv/Ql6vx/wvF1nXXNusQERMjYlzfpSRpoLpr1nzOuvrhanu7zUfziaN2amNGkiRJUv/Rl8X+UcBZmbmkm37TIuKEvkhI0sC0ZPkqTr/4TlatLjb0GDYkOPNte7LeiKFtzkySJEnqH/qy2O8A7uyqQ2bOBC4Eju2TjCQNSF/+zf08+tTiavsjh+/A7uM3amNGkiRJUv/Sl8X+AmDDHvT7HbBni3ORNED96aGn+NFNM6rtvSZuxAcO3a6NGUmSJEn9T18W+3cBf9eDfk8AbpAt6SWeW7ycMy65q9peb/hQznzrngwb2pf/X5kkSZLU//Xl/0L+EXBSRLyqm34TgKV9kI+kASQz+dTl9zBvYefunJ9+wy5M3mx0G7OSJEmS+qc+K/Yz8wLgGuD/IuKDEfGSlbQiIoAPALf0VV6SBoYr7pzL/979eLV92E5b8Pb9J7QxI0mSJKn/GtbHzzsG+AnwbeDTEfFT4B7gSYoF/N4L7AMc0cd5SerH5sxfwqevuKfa3mT0CL785ldQ/D4oSZIkqV6fFvuZuQx4a0QcDZwBfBQIIMvj08CJmfnHvsxLUv+1enXyLxffxcKlK6vnvnjMK9hizKg2ZiVJkiT1b309sg9AZl4OXB4RmwOvADaiGN2/LTOXtyMnSf3TuTc8xk2PPlNtH7fPeI7abVwbM5IkSZL6v7YU+xWZ+RTFe/yS9BIPPrGQr/72wWp7/Mbr8Zl/2KWNGUmSJEkDQ8uL/YgYCRwPvA6YAowBFgIPAb8HLsxMV9+X9CLLVq7ioxfdyfJVqwGIgDPftidjRg1vc2aSJElS/9fSYj8ipgIXAJMo3smvtTfwNuA/IuKdmXlDK3ORNLCcedXD3P/489X2+1+9HftN3qSNGUmSJEkDR8uK/YjYFbgKWA94AvgBcD/Fu/lbADsDp1D8EPD7iHhlZt7T5HaSBpFbH3uW7133SLW981ZjOf2IKW3MSJIkSRpYWjmy/3mKQv8C4JTMXFHfISI+T/EjwLuAzwHHtjAfSQPAomUr+eeL7ySzaI8YNoRvvm1PRgwb0t7EJEmSpAGklf/r+VXA88BpjQp9gPL8+8p+h7YwF0kDxDl/eoTZzy2ptj/+uh3ZcdyYNmYkSZIkDTytLPZHAA92t/heef1BwFW3pEHuucXLOfeG6dX2/pM34eSDtmlfQpIkSdIA1cpi/35gfA/7TgDubWEukgaA7//5URYtW1ltf+LvdmLIkPq1PSVJkiR1p5XF/jeBrSLiI111iogPA+PK/pIGqWcWLeP8G6dX24fuuDn7TNq4fQlJkiRJA1jLFujLzJ9FRAfwlYh4NfBditH+ecDmFKvx/yPweuDjmXlhq3KR1P+dc92jvLB8VbXt6vuSJEnS2mvl1nurappvKv8185WI+EqD85mZrdwxQFI/8NTCZfzopunV9hE7b8keEzZqWz6SJEnSQNfKQro3XrT1ZV1pEPifPz7C0hWrq+2PHrFDG7ORJEmSBr5WTuN3U2xJ3Xry+aVccMuMavuoXcexW8eGbcxIkiRJGvgsyCW11XevncbylTWj+kc6qi9JkiS9XBb7ktpm7vwl/PzWWdX263ffip3GjW1jRpIkSdK6wWJfUtt859ppLF9VjOpHwEcPd1RfkiRJ6g0W+5LaYtazL3Dx7Z2j+m/cY2t22HJMGzOSJEmS1h2DotiPiKERcWpE/Ckino6IpRExIyIuj4iGWwJGxIERcUVEPBURSyLivoj4dESM6uZZHRFxTkTMiohlETEzIr4XER3dxI2KiM+Uz1lSPveKiDigB9/vnRFxY0QsiIjny8/v6C5OaqfvXDuNFasSgCEBH3ZUX5IkSeo163yxHxEbA9cD5wCHAE8D9wDDgTcB72oQ8w7gz8AbgWXA/cD2wOeA6yJi/SbP2gX4G3AqMKZ8zljgNOCuiNipSdzoMsf/BLYrn7esfP71EXF8F9/vbOAnwIHAXGB2+fmCiPjvZnFSO814ZjGX3DG72j56rw6223yDNmYkSZIkrVvW6WI/IoYAVwIHAL8EJmbmTpm5b2ZuDUwAvlUXMxn4ITAU+DgwITP3BnYAHgT2A77a4FlDgUuATYBLga0zcx+go3z2psBFZU71/gvYB3gAmFI+byLwiTKPcyNiQoNnHg+8D1gMHJ6ZO2fmLsAR5bkPRsRbevbXkvrOt6+ZxqrVxaj+0CHBhw9zVF+SJEnqTet0sU8xon4wcC1wXGbOrr2YmbMz87q6mDOAkcDvM/NrmZll3xnAyZX7RsSWdXHHArsAzwAnZeYLZdxi4D3l+d0pZhNURcRWwCll8+TyOWTm6sz8KnAVsB7wLw2+36fK4xcy85qa73U18MWy+ekGcVLbPPb0Yn75l87/FN+8dweTNxvdxowkSZKkdc+6Xux/pDx+OjNXd9kTiIgAjimbP6y/npk3Uoy+V14BqHVsebw4MxfWxS2kGPUHOK4u7o3AMOD+zLypQVqVPF40Qh8ROwK7ls1zG8RVzu0eEVMaXJfa4ltXP0w5qM+wIcGHHNWXJEmSet06W+xHxA7ATsCzwI0R8aaIuCAiro6ICyPivRExsi5sIrBV+fmGJreunH9l3fkD6q73dtzWdVP5K3HTMvPJ+qDMfAJ4pMkzpbaYNm8hV9w5p9p+634TmLBJwyUwJEmSJL0Mw/rqQeVCeRsA0axPZs7sxUfuUx4foFjArn51+rcBH4uIoypT5yney4dicby5Te77aF1fImIExQ8FtdebxU2OiOGZuaLuPs3i5gDLgRFl38peZd3FVa5tV5trVyJidheXx/XkHlJXzrp6WnVUf8TQIXzwNdu3NyFJkiRpHdXSkf2ImBIRP4uIZylWwZ8OPNbkX1dF69qojNDvR1Ho/wCYDIyiWMDuUYqR/0trFs3buDzOr7yr38BzdX0BNqTzb/kcjVXOD6FYob9i47rrL1LmMb/BM7uM6yJXqS0efGIhv/5b529ox+8/gY6N1mtjRpIkSdK6q2Uj+xGxJ/AnOkfzlwJPAd2+O99LKit+DQf+nJmn1ly7OiKOBf5KMQPg9cCvKH4IgGIkvZll5bG2ShlV87lZ7LKaz41i1/aZaxrXVGaOb3atHPXv6Ml9pEa++YeHqPyENmLYEP7xUEf1JUmSpFZp5TT+L1LsNX81cHpm3tPCZzWytObzWfUXM/OuiLgWOAw4iqLYr8SM6OK+lff8lzR5VrPY2vUBGsWu7TPXNE7qc/fOXcBv7nmi2n7HKycybsNRXURIkiRJejlaOY1/KrAIOLoNhT68eHr7A0363F8eJ9fFbFSuzN9Io+nzC+icsdBsynzl/Grg+QZ5Nowr89iowTN7MkW/J1P9pZb75h8ern4eNXwIHzh0uzZmI0mSJK37WlnsDwEeLPeZb4cHaz4va9Kncn5oeaxUJCOBrZvEbFvXl8xcDsysu94sbnrN4ny192kW10Hn6P3DNee7i2uYq9TX7p69gKvu69ww4l0HTGKLMY7qS5IkSa3UymL/TjoXyWuHv9I51b27AryyF9hMoDLX+KAmMZXzt9Sdv6Xuem/Hzc3MWTXnK3HbR8SW9UERMY5iJf5Gz5T6zJl/eKj6eb3hQ3nfqx3VlyRJklqtlcX+l4CtIuJdLXxGU+WMgv8rm++uv14Ww68rm9eUMQlcVp47pUHMVIoV/FcAV9Zd/mV5fGtEjKmLGwMcVzZ/URd3JbAS2DkiDmzwVSp5XFp7MjMfoPM1hJMbxFXO3Z2ZDzW4LrXcX2c+xzUPzKu23z11MpttMLKLCEmSJEm9oWXFfmb+BvhH4LsRcWZE7BYRfb3P1ueAVcDxEVEt+CNiI+B8ilXqHwUuqYn5GsUK96+NiDMq7+5HxCTg3LLPDzLzCV7sUoq1ATYFzouI9cu40cB55fl7gMtrgzJzbnkd4NzyOUThDOBIihkKX2/w/T5fHj8ZEYfVfL/DgH+v6yP1uTNr3tUfPWIop72qq7dOJEmSJPWWaL6d/Mu8ccSqNQzJzOz13QEi4v3Adym2/5sJzAN2AdYHngaOzMw762JOpCjAh1BM8Z8H7Eaxjd8dwKsbrUUQEbsB11EsjLcAmAZsD2wIPAsckpn3NYgbQ7FN4V4UPzTcC2xB8b7+KuDdmfnTJt/vHKCyrWBlpH/n8nh2Zn6g+V+n5yJidkdHR8fs2bN743YaBG6f/ixvOfumavufXrM9//K6HduYkSRJktR/jR8/njlz5szpakv0NdHKafyxhv9akktmng28mmJrvfWB3SmK9+8Ae9YX+mXMj4FDgF9TjP7vQjED4LPAwc0WHSx3HdgD+AHFTgSvKI/fB/ZoVOiXcQsp3s3/LPBY+bxRZc6HNCv0y9jTKF5TuBmYUP67GTixtwp9aW3Uvqs/ZuQw3nvINm3MRpIkSRpcWjayr3WLI/taEzc/+gzHn3Nztf2Rw3fg9COntDEjSZIkqX8bSCP7kgahzOQbV3WO6o8dNYxTHNWXJEmS+lSvvyPfTERMAaYAY4CFwEOuEi+te2565BlufezZavu0V23L2FHD25iRJEmSNPi0vNiPiPcBnwAmNbg2HfhyZn6/1XlIar3M5L9qRvU3Wn847znIUX1JkiSpr7W02I+I84ATKRbgWwbMAp4EtqRYSG4b4OyImJqZJ7UyF0mtd93DT3PHjOeq7fe9ajs2GNlnE4gkSZIklVr2zn5EnECxSvwLwMeBzTNzSmYekplTgM3L84uBEyPi7a3KRVLr1b+rv+noEZx44Esm9EiSJEnqA61coO9UIIE3Z+bXM3NR7cXMXJSZXwfeQjHyf2qDe0gaIK59cB53zZpfbb//1dsx2lF9SZIkqS1aWezvATyamb/vqlN5fRqwVwtzkdRC9aP6m20wknce4Ki+JEmS1C6tLPZHAfO77VV4HhjZwlwktdBV9z3JPXOer7b/8dDtWG/E0DZmJEmSJA1urSz2ZwK7RcRmXXWKiM2BXcv+kgaY1auTM//wcLW95diRnPDKiW3MSJIkSVIri/0rKUbrLyoL+peIiC2Ai4ARwBUtzEVSi/zu3ie4//HOUf0PvmZ7Rg13VF+SJElqp1aunvVl4HjgUGBGRFwC3AfMA7YAdgGOo5juPwv4SgtzkdQCxah+57v6W204irftN6GNGUmSJEmCFhb7mflsRBwG/BzYB3gXxer8FVEebwNOyMxnW5WLpNb437sf56EnOzfa+KfDtmfkMEf1JUmSpHZr6b5YmTkN2C8iDgdeC0wBNgAWAQ8Bv8vMa1qZg6TWWLU6+WbNqP74jdfjuH0c1ZckSZL6gz7ZBDszrwau7otnSeobv7prLo88tbja/vBhOzBiWCuXAZEkSZLUU/4vc0lrbOWq1Zx1decK/JM2XZ9j9u5oY0aSJEmSavXKyH5EVPbZWpGZj9ed67HMdPs9aQC4/M65PPb0i0f1hw/1t0NJkiSpv+itafzTKRbfewDYte5cT2Uv5iOpRVasWs23akb1t91sNG/ac+s2ZiRJkiSpXm8V1zMpivXHG5yTtA659I7ZzHz2hWr7I0fswDBH9SVJkqR+pVeK/cyc3JNzkga25StX8+1rplXb22+xAW/Y3VF9SZIkqb9xOE5Sj118+yzmzF9SbX/0iB0YOiTamJEkSZKkRlpW7EfEqyJijx723T0iXtWqXCS9fEtXrOI713aO6u+45Rj+fret2piRJEmSpGZaObL/R+BbPex7FnBN61KR9HJddNssHl+wtNo+/cgdGOKoviRJktQvtXoa/5pUAlYNUj9VP6q/y1Zjee0u49qYkSRJkqSu9Jd39jcFlnTbS1Jb/PSWmcxbuKzaPv3IKY7qS5IkSf1Yr+1rHxFjgY3qTo+MiAk0H7VfD3g1sBtwV2/lIqn3vLB8Jf/zx85R/d3Hb8gRO2/RxowkSZIkdafXin3gdOAzdef2Bab3MP6HvZiLpF5ywc0zeHrR8mr79COnEOGoviRJktSf9WaxPx+YWdOeCCwHnmjSPymm7j8KXJSZF/RiLpJ6weJlKzn7T49W23tN3IhDp2zexowkSZIk9USvFfuZeRbFqvoARMRq4LbMdEs9aYD60U3TeXZx56j+PzuqL0mSJA0IvTmyX+8k4MkW3l9SCy1cuoJzrusc1d9v8sYcvP1mbcxIkiRJUk+1rNjPzB+16t6SWu+8G6Yz/4UV1bbv6kuSJEkDR8u23ouIN0bEoxHxsW76fazs9/etykXSmlmwZAXf/3PnqP4B227C1O0c1ZckSZIGipYV+8CJwCTgsm76XQFMLvv3qog4PyKym3+jmsTuHBE/jYjHI2JpRDwSEV+PiPrtBevjNir7PVLGPV7eZ+du4oZExIcj4q8RsTgino2IP0TE3/Xge/592ffZMvYvEfGhiGjl//tqHfbD6x9j4dKV1fbpR0xpYzaSJEmS1lQr39nfC5iXmY921Skzp0XEkxTb9LXKw8C8JtdW15+IiNcA/wusBzwF3AvsBHwMOCYipmbmS9YjiIhxwE0UP168UMZNAE4o447KzOsaxA2l+NHj9WU+9wBjgMOBwyPijMz8eqPkI+JfgS+VzUeBRcAewLeAIyLimMx8yXeUmpn/wnLOvf6xavvg7Tfjldtu2saMJEmSJK2pVo78bs2Lt+Lryixgqxbm8sXMPLjJv+W1HSNiDHARRaH/LaAjM/eh2ErwBmBb4IdNnnM+RaF/PTCxjOsAvl3e7+KIGN0g7gyKQv9JYO/M3CMztwXeQVH8fzUiOlKoeQAAIABJREFU9qsPiogDgS+WfU7IzO0ycw9g7/JebwT+uWd/Iqnw/T8/yqJlNaP6R+7QxmwkSZIkrY1WFvuLgZ5uyL0ZsKyFuayJ91PkfT/wz5m5AiAzn6EYoV8JvD4i9q4Nioh9gdeV199R9qeMP72835bAaXVxI4CPl83TM/OuyrXM/BnFDwsBfKpBrp8qr/0gM39eE3cXnUX+v0bE8DX8G2iQenbxcs67YXq1/eopm7PPpE3al5AkSZKktdLKYv9uYFJZBDdVXp9MMXW9Pzi2PJ6fmatqL2TmTOAPZfMtdXFvLo9Xlf1q41YBld0JjquLew2wMfA88IsG+VRmEbyunHUAQESMBY6o61PrkvKem5bPkLr1vese4YXlnf9nf/qRvqsvSZIkDUStLPZ/RjHq/NOI2LZRh4jYBvgpkGX/VnlLRFweEddExIXl4nUbNshnGLBP2byhyb0q519Zd/6AHsbtU76jXx93a2UWQZ07gKXASGDPmvN7ASPKa3+pDyrvdVuTXKWXeGrhMn5844xq+4idt2DPCV2uRylJkiSpn2rlAn3nAu8GpgL3RMQvgVuA+cBGFEXu0RTvst8IfL+Fuby+rv024D8j4oTM/G3N+clAZcp7s4UFK+frX2Teoe56s7gRFLsU1N+nYVxmroyIWWW/HYA/18XNzMyVjWLLex7eINeGImJ2F5fH9eQeGri+96dHWLKic1T/o67AL0mSJA1YLSv2M3NVRLwBOA94E8X77m+v6RLl8TLglPop873kEeDfKVbWf4xiBsGBwP+jGO2+PCIOzszby/4b18Q+1+SelfMb153fuO56s7j62O7imj1zbeOkl5j3/FJ+cnPnqP7rdt2S3TpeMvlFkiRJ0gDRypF9MnM+xZZz+1IU/DsDY4GFFNvSXZ6ZL5mC3ovP/38NTl8VEX+iGCHfH/gKxeg3wKiafsvrA0uVhQTXqztfie0urj62u7hmz1zbuKYyc3yza+Wof0dP7qOB57t/fIRlKzt3aHRUX5IkSRrYWlrsV5Qj57d327GPZObyiPg08Dvg0IjYODOfo3j/vWJEXbtiZHlcUnd+KbB+GdfIyJrPtbGVZzSLa/bMtY2TXuTxBUv42a2da0q+/hVbsfNWY9uYkSRJkqSXq5UL9PV3N5XHIUBlAcFmU+1pcL5++nx3U+abvSLQk6n2jZ65tnHSi3z32kdYXo7qR8BHjujREg+SJEmS+rHBXOzXrnxfmeEwveZ8wx0Eas4/XHf+4brrzeKWAzNqzncZV+4QMLHBMyufJ5Z91iRXCYDZz73Ahbd1jur/w+5bM2XLMV1ESJIkSRoIWj6NPyJGA/8A7AFsQudq9/UyM09pdT41dq35PLtMYGVE/IVi8b6DaLyN3kHl8Za687cAh9ZcbxZ3R91ihJX77B8Rwxtsv7cPxXT85cCdNef/SvHDxChgb+DW2qCIGA7s1yRXCYDvXDuNFasSgCEBHz7cUX1JkiRpXdDSYj8ijgf+h2JRvurp8ph15xLoy2L/Y+XxgcycU3P+lxTF/nsi4r9qC/OImAgcUTYvrbvfL4FPAEdGxMTMnFkTN5RiG0KAX9TFXUsxzX5j4C3Az+uuV/4mv8vMhZWTmfl8RPwB+Luyz611ccdR/N2fAf6IVGfmMy9wye2duy0evWcH22+xQRszkiRJktRbWjaNPyIOBH4CDAW+AEwrL50KfA64kqLAXwp8Eji5l59/ZER8KSK2qTu/YUR8i85tAD9XF3o28DTFzgHfKEfIiYhNgZ9R/EDym8y8ozYoM28Friqv/7TsXxlhP7O83zzgnLq4ZcDXy+Y3ImKPmlxPoCjkk+JvWO8L5bX3RsTba+L2AL5RNr+amV2t2K9B6tvXPMzK1cVvbkOHBB9yVF+SJElaZ0Rmdt9rbW4ccSlwNHB0Zv4qIv4MTM3MoTV9dgIuoRjV3iczn+zF5x8NXFY25wBzKV4h2IViBfsEPpeZn20Qezjwa4op8k8BMymK9fUp3us/MDOfaBC3NXAjMAl4Abif4n37zSl+1Pi7zPxjg7hhwK+Ao4DVwD3ABnS+c/9vmfnlJt/zk8Dny+ajwCJgN4ofcv4XeFPdawNrJSJmd3R0dMyePbv7zur3Hnt6MUd840+sKov94/YZz9eO26ObKEmSJEmtMn78eObMmTOnqy3R10QrF+g7EHg6M3/VrENmPgC8GdgK+M9efv4dFCPf1wCrKArgnSgK/x9TFOyfbZLX1cC+wIUUPwq8AniSYrR870aFfhk3F9iLYiT/yTIuy/vs06jQL+NWAm8APgrcDWwPbFrm/oZmhX4Z+wWKNRGuKWO2L+/xUXqp0Ne655zrHqkW+sOGBB86zFF9SZIkaV3SypH9ZcDfMnO/sn01xQJ2YzNzcV3fvwEbZuakliSjl82R/XXHc4uXc8CXrmZZud3eW/cdz1ff4qi+JEmS1E4DaWT/GWC9mvbT5XG7Bn2HAlu2MBdJpZ/fNrNa6AOccnCz3SIlSZIkDVStLPanU0zPr/gLxar776jtVC4mN4Xi3XhJLbRi1Wp+ctOMavug7Tdlx3Fj2piRJEmSpFZoZbF/FbBRRFT2s/8ZxSJ1/xIRF0TEByPic8DVZR71W9lJ6mW/u/cJHl+wtNo+aeo2XfSWJEmSNFANa+G9LwamAjsC92bmrIj4AMXWcyfQufVdADcDn2phLpKA826YXv08cZP1ec1OW7QvGUmSJEkt07JiPzPvBY6sO/ejcgu+twKTgSXA9cDlrhovtdbfZs/njhnPVdvvnjqZoUOijRlJkiRJapWWFfsRMbH8ODszq6uBZeajQNOt5CS1xvk1o/qjRwzluH17ZZFPSZIkSf1QK6fxT6fYa76jhc+Q1APzFi7lV3+bW20ft+8Exo4a3saMJEmSJLVSKxfoWwDMqB3Vl9QeP715JitWJQARxRR+SZIkSeuuVhb7dwMTu+0lqaWWrVzFT2/p3G7vNTtuwTabjW5jRpIkSZJarZXF/lnAuIg4uYXPkNSNX9/1OE8vWl5tn3TQ5PYlI0mSJKlPtKzYz8xLgX8FvhMRZ0bE3hGxXqueJ+mlMpPzbnys2t5hiw04ePvN2piRJEmSpL7QytX4a7fS+3D5j4imW31lZrZywUBp0Ll9xnPcM+f5avs9B03u6r9BSZIkSeuIVhbXa1pRWIFIvey8GzpH9TdcbzjH7uV2e5IkSdJg0LJiPzNbuR6ApG7Mmb+E3937ZLV9/P4TWG/E0DZmJEmSJKmvWJBL66gf3zSdVauL7faGDglOPHByW/ORJEmS1Hcs9qV10AvLV3LhrbOq7dftuiUdG7k+piRJkjRY9FqxHxEfjog399b9JK29y/46hwVLVlTb75m6TRuzkSRJktTXenNk/5vARxpdiIhrIuKbvfgsSU1kJuffML3a3nXrsew3eeP2JSRJkiSpz/XVVneH9uGzpEHthmnP8PC8RdX2SQdt43Z7kiRJ0iDjO/vSOqZ2u73NNhjBP+yxVRuzkSRJktQOFvvSOmT604u55sF51fYJr5zEyGFutydJkiQNNhb70jrk/Bunk8VuewwfGrzzgIntTUiSJElSW1jsS+uIhUtX8Is7Zlfbb9h9a7YYM6qNGUmSJElql95eNG+LiDhxLa4BkJk/7uV8pEHjkttns2jZymr7pIMmty8ZSZIkSW3V28X+DsB5Dc5nF9dq+1jsS2th1erkRzdNr7b3mbQxu4/fqG35SJIkSWqv3iz2Z1IU7JL62LUPzGPGMy9U247qS5IkSYNbrxX7mTm5t+4lac2cd2PndntbbTiK1+06ro3ZSJIkSWo3F+iTBrgHn1jIDdOeqbbfdeAkhg/1P21JkiRpMLMikAa482tG9UcOG8Lb93O7PUmSJGmws9iXBrDnFi/nl3+ZU20fs1cHG48e0caMJEmSJPUHFvvSAHbhbbNYtnJ1tf0eF+aTJEmShMW+NGCtXLWan9w0vdqeut2m7DRubNvykSRJktR/DKpiPyI+HxFZ/vtUF/0OjIgrIuKpiFgSEfdFxKcjYlQ39++IiHMiYlZELIuImRHxvYjo6CZuVER8pnzOkvK5V0TEAT34Tu+MiBsjYkFEPF9+fkd3cRr4fnfvk8xdsLTaPumgbdqYjSRJkqT+ZNAU+xGxM3BGD/q9A/gz8EZgGXA/sD3wOeC6iFi/SdwuwN+AU4ExwD3AWOA04K6I2KlJ3GjgeuA/ge3K5y0rn399RBzfRa5nAz8BDgTmArPLzxdExH939101sJ13Q+fCfBM3WZ/DdtqijdlIkiRJ6k8GRbEfEQF8D1gBXNNFv8nAD4GhwMeBCZm5N7AD8CCwH/DVBnFDgUuATYBLga0zcx+gA/glsClwUUQ0+nv/F7AP8AAwpXzeROATZR7nRsSEBs88HngfsBg4PDN3zsxdgCPKcx+MiLd0+YfRgHX37AXcPuO5avvdUyczdEi0MSNJkiRJ/cmgKPaBU4BDKEbnZ3XR7wxgJPD7zPxaZiZAZs4ATi77nBYRW9bFHQvsAjwDnJSZL5Rxi4H3lOd3B95UGxQRW5W5AZxcPofMXJ2ZXwWuAtYD/qVBrpXXEL6QmdUfMDLzauCLZfPTXXxXDWC1o/qjRwzluH3HtzEbSZIkSf1NnxT7ETEhIk6IiDMi4jN114ZHRMv2CouIzYGvAPcBZ3bRL4BjyuYP669n5o0Uo+/DqSvaKYp9gIszc2Fd3EKKUX+A4+ri3ggMA+7PzJsapFXJ40Uj9BGxI7Br2Ty3QVzl3O4RMaXBdQ1g8xYu5Vd/m1ttH7fvBMaOGt7GjCRJkiT1Ny0t9iNis4i4CHiM4t3yLwP/UdftPGBJROzTojTOpJhe/4+ZuaKLfhOBrcrPNzTpUzn/yrrzB9Rd7+24reum8lfipmXmk/VBmfkE8EiTZ2qA++nNM1mxKgGIKKbwS5IkSVKtlhX7ETEG+BPFaPYc4PzyWO8HQNA5Ot6bORwOvAO4IDP/1E33HcrjMorF7hp5tK4v5ayEiXXXm8VNjojaIdgd6q7XmwMsr39mD+Ia5tqdiJjd7B8wrqf3UessW7mKn94yo9p+zY5bsM1mo9uYkSRJkqT+qJUj+x8HdqZYsG6nzDwFmNGg33XAEuA1vfnwcpu8s4EFNH7nvd7G5XF+5V39Bp6r6wuwIZ1/x+dorHJ+CMUK/fXPbBhX5jG/wTO7jOsiVw1wv77rcZ5etLzaPumgye1LRpIkSVK/NayF934LxSj5ezNzSbNOmbk6IqbROTreWz5FsWXePzWa6t7AqPK4vIs+y8rjeg3iuopdVvO5UezaPnNN47qUmU1XeStH9zt6ei/1vszkvBs7F+bbYYsNOHj7zdqYkSRJkqT+qpUj+5OBhzJzQQ/6vgD0WtUSETtTrKz/F+B/ehi2tDx2tVjgyPJY++PF0prPzWJH1nxuFLu2z1zTOA1gt894jnvmPF9tv+egyRTrSkqSJEnSi7Wy2F8KjOlh360optv3lu9SzFr4QGau7mFMZdr7RtG8gmo0fX4BsLruerO41cDzNee7nGpf5rFRg2f2ZIp+T6b6awA5/4bp1c9jRw3jmL2caCFJkiSpsVYW+/cCEyJiUledImJPiin8d/Tis/cCErgyIp6o/Qe8rezzifLcbWX74fI4Eti6yX23retLZi4HZtZdbxY3vW5HgIfrrtfroHP0/uGa893FNcxVA9fc+Uv47b1PVNtv338i649o5Vs4kiRJkgayVhb7FwBDgXMiYv1GHSJiY4q95BP4cS8/fyiwZYN/lffdNyjbm5ftmUClmjqoyT0r52+pO39L3fXejpubmbMaxG0fEVvWB0XEOGC7Js/UAPTjm2awanWxbuSQgHcd2OVvaJIkSZIGuVYW+98H/gwcCdwdEV+mKK6JiJMj4hvAgxSj8Fdl5oW99eDM3Cgzo9E/4Edlt0+X5yaXMQlcVl47pf6eETEV2AlYAVxZd/mX5fGt5ZaDtXFjKLYfBPhFXdyVwEpg54g4sMFXqeRxad33ewC4v2ye3CCucu7uzHyowXUNIEuWr+Lnt86stl+36zjGb9zw9zNJkiRJAlpY7GfmKuANwEXANhQL5m0PBMUPAR+lWJTvYuDNrcpjDX2NYoX710bEGZV398tXEc4t+/wgM5+oi7sUeADYFDivMpMhIkYD55Xn7wEurw3KzLnldYBzK688ROEMih9KlgJfb5Dr58vjJyPisMrJ8vO/1/XRAHbZX+ewYEnn2x8nHbRNG7ORJEmSNBC09KXfzFwIvD0ivggcA7yCYl/6RcB9wGWZ2Zvv6r8smflYRJxKUYB/FfhIRMwDdgOGU6wrcEaDuFURcRxwHcUPF0eU2wluT/F9nwXe1mSxwI8B+1LMcHgoIu4FtqB4X38VxdaFM+uDMvNnEXEocCpwdURURvp3Lo9nZ+bFa/FnUD+SmZxfs93erluPZb/JXa3LKEmSJEktLvYrMvNu4O6+eNbLlZk/Lgv1fwOmArsAjwI/B76SmUubxN0TEXsAnwH+juKHjacoZi58LjNnN4lbGBEHAR8H3l4+bxHwK+BLmXlTF7meFhHXAx+g+EEC4Gbgu5n5kzX75uqPbpj2DA89uajaPumgbdxuT5IkSVK3onhVXepaRMzu6OjomD274W8WapFTzr+Nqx+YB8BmG4zghn89jJHDhrY5K0mSJEm9bfz48cyZM2dOZo7vjfv1ysh+REzsjfs0mq4uDVbTn17MNQ/Oq7ZPeOUkC31JkiRJPdJb0/inU2yf93IkffRagTQQnH/jdCoTb4YPDd55QK/8piZJkiRpEOit4nomL7/Yl1RauHQFv7ij85WJN+y+NVuMGdXGjCRJkiQNJL1S7Ff2qpfUOy65fTaLlq2stk86aHL7kpEkSZI04AxpdwKSXmz16uRHN02vtveZtDG7j9+obflIkiRJGnj67B35iJgCTAHGAAuBhzLzob56vjRQXPvgPGY880K1/Z6pk9uXjCRJkqQBqeXFfkS8D/gEMKnBtenAlzPz+63OQxoozrthevXzuLGjOGq3ce1LRpIkSdKA1NJiPyLOA04EAlgGzAKeBLYEJgDbAGdHxNTMPKmVuUgDwUNPLuT6aU9X2+86cBLDh/q2jSRJkqQ107IqIiJOAN4NvAB8HNg8M6dk5iGZOQXYvDy/GDgxIt7eqlykgaJ2VH/ksCGcsL/b7UmSJElac60cMjyVYju+N2fm1zNzUe3FzFyUmV8H3kIx8n9qC3OR+r35Lyznsr92brd3zF4dbDx6RBszkiRJkjRQtbLY3wN4NDN/31Wn8vo0YK8W5iL1ez+/dRZLV6yutt/jdnuSJEmS1lIri/1RwPwe9n0eGNnCXKR+beWq1fzkpunV9tTtNmWncWPblo8kSZKkga2Vxf5MYLeI2KyrThGxObBr2V8alH5375PMXbC02j7poG3amI0kSZKkga6Vxf6VFKP1F5UF/UtExBbARcAI4IoW5iL1a+fd8Fj188RN1uewnbZoYzaSJEmSBrpWbr33ZeB44FBgRkRcAtwHzAO2AHYBjqOY7j8L+EoLc5H6rbtnL+D2Gc9V2++eOpmhQ6KNGUmSJEka6FpW7GfmsxFxGPBzYB/gXRSr81dUqpnbgBMy89lW5SL1Z7Wj+qNHDOW4fce3MRtJkiRJ64JWjuyTmdOA/SLicOC1wBRgA2AR8BDwu8y8ppU5SP3ZvIVL+dXf5lbbx+07gbGjhrcxI0mSJEnrgpYW+xWZeTVwdV88SxpIfnbLTFas6pzw8u6pk9uXjCRJkqR1RisX6JPUhWUrV3HBzZ2bULxmx83ZZrPRbcxIkiRJ0rrCYl9qk//92+M8vWhZte12e5IkSZJ6S69N44+IVS/zFpmZffJagdRumcl5N0yvtrffYgMO2WGz9iUkSZIkaZ3Sm8X1y90rzL3GNGjcMeM57p6zoNp+z9TJRPifgCRJkqTe0dsj6Qk8CPwE+CXFqvuS6tSO6o8dNYxj9+5oXzKSJEmS1jm9WeyfDrwD2Bf4PPBJ4DKKwv8Pmbm6F58lDVhz5y/ht/c+UW2/ff+JrD/CN1gkSZIk9Z5eW6AvM8/KzP2BnYAvAfMoiv/fAHMi4r8iYu/eep40UP34phmsWl1stzck4F0HTmpzRpIkSZLWNb2+Gn9mPpSZn8rMbYFXAT8ERlKM/N8WEfdGxCciYkJvP1vq75YsX8XPb+3cbu91u45j/MbrtzEjSZIkSeuilm69l5nXZ+ZpwDjgOOBXwHbAF4HHIuK/W/l8qb+57K9zWLBkRbXtdnuSJEmSWqGlxX5FZi7PzEsz82jgSGBW+ewpffF8qT/ITM6/8bFqe9etx7Lf5I3bmJEkSZKkdVWfrAoWEVsCbwfeBexJsc3eIuD6vni+1B/c+MgzPPRk5wYVJx20jdvtSZIkSWqJlhX7EbEecAxFgX94+axVwO8pVui/LDOXtOr5Un9z3g2do/qbbTCCf9hjqzZmI0mSJGld1qvFfhTDlEcA76Qo9EdTjOL/laLA/3lmPtmbz5QGghnPLObqB+ZV2ye8chIjhw1tY0aSJEmS1mW99s5+RHwNmA38lmI0/zngK8CumblPZn6zrwv9iDg6Ir4XEXdExOMRsTwi5kfEjRHxkYgY0UXsgRFxRUQ8FRFLIuK+iPh0RIzq5pkdEXFORMyKiGURMbPMoaObuFER8ZnyOUvK514REQf04Hu+s/xOCyLi+fLzO7qLU985/8bpZLHbHsOHBu985cT2JiRJkiRpnRZZqUBe7o0iVgMJPAhcAPypbPdYZt7YK8l05nQ9cBCwDJgLPANsBVQK7zuAIzJzfl3cO4AfAUOBOcA8YDdgOHAbcGhmvtDgebsAfwY2ARYAj1DsPrBh+eyDM/OBBnGjKf5e+wDLgXuBLco8VwHvzMwLm3zHs4H3lc0HKP7mO5ft72TmPzX9A62BiJjd0dHRMXv27N643aCycOkKDvzSNSxathKAo/fcmm8ev1ebs5IkSZLUn4wfP545c+bMyczxvXG/VryzvyPw/9YiLun9fH4AfAq4ITOr+52Vo+WXUBTXXwA+WHNtMvBDikL/48DXMzMjYhLwO2A/4KvAi4roiBha3nMT4FLgxMx8oSzkfwwcC1wUEXtl5uq6PP+rzOUB4KjMnBERQ4B/oZgdcW5E3JCZs+qeeTxFob8YeGNmXlOePxy4AvhgRPwxM3+xxn859Zpf3DG7WuiD2+1JkiRJar3e3Hpv5sv8N+ult3x5MvP8zPxjbaFfnr8Z+OeyeXRd2BnASOD3mfm1LKc+ZOYM4OSyz2nlDgO1jgV2oRjBP6ky8p+Zi4H3lOd3B95UGxQRWwGnlM2Ty+eQmasz86vAVcB6FIV/vU+Vxy9UCv0y9mrgi2Xz0w3i1EdWr05+dOP0anvviRuxx4SN2peQJEmSpEGh14r9zJycmdu8nH+9lUsPVabTr185US4weEzZ/GF9QPmawQMU0/nfVHf52PJ4cWYurItbSDHqD3BcXdwbKWY03J+ZNzXIs5LHW2pPRsSOwK5l89wGcZVzu0fElAbX1QeufXAe05/pfOPDUX1JkiRJfaE3R/YHmgPL419qzk2keKcf4IYmcZXzr6w7f0Dd9d6O2zoiJjSIm9Zo4cPMfIJizYBGz1QfOe+G6dXP48aO4qjdxrUvGUmSJEmDRive2e+3yvfqt6IYTf8yxbvu/1bTZYfyWFnQr5FH6/pSruo/se56s7jJETG85tWCHequ15tDsWjfiLJv5XWH7uIq17arzbUrEdHV6ntWqWvooScXcv20p6vtdx04ieFDB/Pva5IkSZL6yqCoPCLioxGRwEqKYvk7wNXAAZl5a03Xjcvj/Mq7+g08V9cXitX2h9RdbxY3BBjb4JkN48o85tf17Taui1zVR37458eqn0cOG8IJ+7vdniRJkqS+MVhG9udQTIcfDkwCtgReA7w9Ij6TmavKfqPK4/Iu7rWsPK5Xc25UzedmsctqPjeKXdtnrmlcU11t8VCO+nc0u64Xm/XsC1z6l86JEsfs1cHGo0e0MSNJkiRJg8mgGNnPzEsy8+DMfGVmjqN433068O/Af9d0XVoeu6rKRpbHJQ3iuoodWfO5UezaPnNN49QHvn3Nw6xcXUwOGTokeP+rt2tzRpIkSZIGk0FR7NfLzFuAv6cY+T4tIiaVlyrT3jcqV+ZvpNH0+QXA6rrrzeJWA8/XnO9yqn2Zx0Z1fbuN6yJXtdiMZxZz6V/mVNvH7NXB5M1GtzEjSZIkSYPNoCz2ATJzLnAnxd9gj/L0w+VxJLB1k9Bt6/qSmcuBmXXXm8VNr1mcr/Y+zeI66By9f7jmfHdxDXNV6337mmmsqhnV/9Bh27c5I0mSJEmDzaAt9kvD6o4zgSfKzwc1iamcv6Xu/C1113s7bm5mzqo5X4nbPiK2rA+KiHEUK/E3eqZaZPrTi7nsr52j+m/eu4NJmzqqL0mSJKlvDdpiPyIm0zmifxdUV76/rDx3SoOYqcBOwArgyrrLvyyPb42IMXVxY4DjyuYv6uKupNglYOeIOLBBqpU8Lq09mZkPAPeXzZMbxFXO3Z2ZDzW4rhb41jUPV0f1hw0JPnRYj3Y9lCRJkqRetc4W+xGxT0T8Z0S8ZJp7RBwF/IZiRP//MvORmstfo1jh/rURcUbl3f3yvf5zyz4/yMwneLFLgQeATYHzImL9Mm40cF55/h7g8tqg8nWC88rmuZX1A6JwBnAkxWJ8X2/wNT9fHj8ZEYfVfL/DKBYfrO2jFnv0qUVcXjOq/5Z9xjNhk/XbmJEkSZKkwSqabyc/sEXEocC1ZfMJYDbFu+8T6Vzw7jbg7zPz6brYEykK8CEU2/bNA3aj2LrvDuDVmbm4wTN3A66jWBhvATAN2B7YEHgWOCQz72sQNwb4E7AXxQ8N9wJbULyvvwp4d2b+tMn3PAc4tWxWRvp3Lo9nZ+YHGsWtqYiY3dHR0TF79uzuOw9Sp190Z3VWx+irAAAgAElEQVQK//ChwTUfO9RiX5IkSVKPjB8/njlz5szpakv0NbHOjuxTTM3/CMU0+cUU0+93otiG7jfAScDU+kIfIDN/DBwC/Jpij/pdgEeBzwIHNyr0y7h7KF4N+AGwCHhFefw+sEejQr+MW0jxbv5ngcfK540CfkXxA0HDQr+MPQ14N3AzMKH8dzNwYm8V+ureI08t4oo7O0f1j9t3goW+JEmSpLZZZ0f21bsc2e/aRy78K1fcORcoRvX/eMZr6NhovTZnJUmSJGmgcGRf6memzVvIlXfNrbbftt8EC31JkiRJbWWxL71MZ109jcoEmRFDh/DB12zf3oQkSZIkDXoW+9LL8NCTC/n13zpH9Y/ffwJbbeioviRJkqT2stiXXoazrn64c1R/2BD+8VBH9SVJkiS1n8W+tJYefGIh/3f349X2CftPZNyGo9qYkSRJkiQVLPaltXTW1Q9VR/VHDhvCBw7drr0JSZIkSVLJYl9aC/fNfZ7/u/uJavuEV05ky7GO6kuSJEnqHyz2pbVw1tUPVT+PHDaED7zaUX1JkiRJ/YfFvrSG7p27gN/d+2S1/c4DJrGFo/qSJEmS+hGLfWkNffMPD1c/jxo+hPc7qi9JkiSpn7HYl9bAPXMWcNV9naP67zpgEpuPGdnGjCRJkiTppSz2pTXwzT90vqu/3vChvM9RfUmSJEn9kMW+1EN/mz2fP9w/r9o+8cBJbLaBo/qSJEmS+h+LfamHat/VX3/EUE571bZtzEaSJEmSmrPYl3rgzlnzueaB2lH9yWzqqL4kSZKkfspiX+qB2nf1RzuqL0mSJKmfs9iXuvGXmc/xxwefqrbfPXUym4we0caMJEmSJKlrFvtSN2rf1d9g5DBOPcRRfUmSJEn9m8W+1IU7ZjzHdQ91juqfdNBkNnZUX5IkSVI/Z7EvdaH2Xf0xI4fx3oMd1ZckSZLU/1nsS03cPv1Z/vzw09X2SQdvw4brD29jRpIkSZLUMxb7UhNn1o7qjxrGKQdv08ZsJEmSJKnnLPalBm597FlumPZMtX3Kwduw4XqO6kuSJEkaGCz2pQbOvKpzVH/sqGGc7Ki+JEmSpAHEYl+qc9Mjz3DTo52j+u89ZFvGjnJUX5IkSdLAYbEv1cjMF72rv+F6wznpoMntS0iSJEmS1oLFvlTjpkee+f/t3Xu8HVV58PHfQ26QEO4KIVwCJAgBQfHGTQVEhVovgCC8XkqhqEUt1lb6akHRYqvVvhUrWFtFVIpIAAERvBRFBOWqIiD3W0hCIAECCCQhyfP+MWsnm52997lkn5xz9v59P5/9mTMza82sPevMWeeZNbOG6+9/fOX8ca/djsn26kuSJEkaZQz2paKxV3+jieP4i72nDV+BJEmSJGmQDPal4pp7HuOGB55YOX/ca7e3V1+SJEnSqGSwL7F6r/7G9upLkiRJGsUM9iXgV3cv5KYHV/Xqv/91O7D+hLHDWCJJkiRJGryuDfajsm9EfDEiro2IRRGxNCLmRcQFEbF/H/n3ioiLI2JBRDwXEX+MiJMjYt0+8k2NiP+KiIciYklEzI6Ir0fE1D7yrRsRnyr7ea7s9+KI2LMf3/U9EfHriHgyIp4qP7+7r3yqNPbqbzJpPO/ba9thLJEkSZIkrZmuDfaBA4BfAX8PvAp4BLgVmAwcCvw8Iv6pWcYSKP8KeBuwBLgdmA58FrgqIia2yDcT+ANwXNnPrcAGwPuBmyNipxb5JgFXA58Bdij7W1L2f3VEHNnqS0bEfwLfBfYC5gFzys9nR8RXW+XTKr+8awG/m71o5fwHXrc9k+zVlyRJkjSKdXOwH8A9wPHAZpn5kszcA9gU+JeS5qSI+PMXZIqYBnwTGAOcCGxd8s0A7qS6cPCvq+0sYgwwC9gEuADYMjNfAUwFLiz7/X5ENDvm/wa8ArgD2LHsbxvgH0o5zoyIrZvs80jgA8AzwBsyc+fMnAkcWJZ9KCLe2feh6l1Vr/7dK+c3W38877VXX5IkSdIo183B/vXAzpn5tcxc+TB2Zi7NzE8Cl5dFxzXk+zgwAfhpZn4xM7PkexA4pqR5f0Rs3pDvUGAm8Bjwl5n5bMn3DHB0Wb4b8Pb6TBExBTi2zB5T9kNmrsjMfwV+BqxHdYdCo5PK9HOZ+fO673gF8M9l9uQm+VRceecCbn6ovld/ByaOt1dfkiRJ0ujWtcF+Zj6VmcvaJPlZme5YWxARARxSZr/ZZJu/pup9H0dD0E4V7AOcl5lPN+R7mqrXH+DwhnxvA8YCt2fmb5qUs1aOF/TQR8RLgF3K7JlN8tWW7RYROzZZ3/Man9XfbP0JvGdPe/UlSZIkjX5dG+z3Q22gvefqlm0DTCk/X9MiX235axqW79mwvtP5tmy4lb+W757MfKQxU2bOB+5tsU8BP7/jUf4w58mV8x98/fasN37MMJZIkiRJkjqjJ+9XLj34tR72+iB7RpkuoRrsrpn7GtISEeOpLhTUr2+Vb1pEjMvM5xu20yrfXGApML6kfaif+WrrdqgvazsRMafN6i36s43RIjP5ct2z+i+abK++JEmSpO7Rqz37xwEvpwqiv1y3fOMyXVR7Vr+JJxrSAmzIqmP5BM3Vlq9DNUJ/4z6b5ivlWNSQts98bcoq4H9vf5Rb5q7q1T9+vx1Yd5y9+pIkSZK6Q8/17EfEHsBpZfakzLy3bnXt1v6lbTaxpEzXa5KvXd4ldT83yzvYfQ40X0uZuVWrdaXXf2p/tjPSVb36q57V33yDCRz16m3a5JAkSZKk0aWnevYjYjvgUqpA+RzgSw1JFpfp+DabmVCm9c/6L677uVXeCXU/N8s72H0ONF/P++kfH+G2eU+tnD9+v+n26kuSJEnqKj0T7EfEFlQj8E8BfgQc3eRW/dpt7xuV5/qbaXb7/JPAiob1rfKtAJ6qW972VvtSjo2a7LM/t+j351b/nrJixQuf1d9ig3V516u2bpNDkiRJkkafngj2I2ITqkB/B+CXwOF1A+TVq0WBE4AtW2xu+4a0ZOZSYHbD+lb5HmjY990N6xtNZVXv/d11y/vK17Ssve4nt83n9odXXWv50P4+qy9JkiSp+3R9sB8R6wOXAbsCNwBvzcxWt7XPBuaXn/dpkaa2/LqG5dc1rO90vnmZ+VDd8lq+6RGxeWOmcifDDi322ZMae/W33HBdjrBXX5IkSVIX6upgPyImABdTvWf+NuCgzHy6VfpyW/8PyuyxTba3N7AT8DxwScPqC8v0iIiY3JBvMqte9Xd+Q75LgGXAzhGxV5Ni1cpxQUNZ7wBuL7PHNMlXW3ZLZt7VZH3PufzW+dz5yKrqP37/6UwYa6++JEmSpO7TtcF+RIwBzgUOAO4F3piZj/cj6xepRrh/U0R8vPbsfkRsC5xZ0nwjM+c35LsAuAPYFPhWREws+SYB3yrLbwUuqs+UmfPKeoAzy36IyseBN1INxtc4mCDAqWX6jxFxQN13PwD4ZEOanrZiRXLaFauueUzdaD2OeKW9+pIkSZK6Uze/eu8I4B3l5xXArBZj7j2cmbVedzLz/og4jioA/1fghIh4lOoxgHHATcDHGzeSmcsj4nDgKuAw4MCIuAeYDmwIPA68KzNXNOYF/g54JfBy4K6IuA14MdXz+suBv8rM2Y2ZMvOciNgPOA64IiJqPf07l+l/ZuZ5zb50r/nRLQ9z1yN/Wjn/of2nM35s117rkiRJktTjujnYr3/V3YzyaebBxgWZ+Z0SqH8C2BuYCdwHfA/4QmYubsxT8t0aEbsDnwIOBl4KLADOAz6bmXNa5Hs6IvYBTgSOKvv7E/BD4F8y8zetvmRmvj8irgb+muqCBMC1wBmZ+d1W+XrJ8hXJaVeselZ/6kbr8c5XbDWMJZIkSZKkoRWrv31OWl1EzJk6derUOXOaXq8Y0S7+/VxOOPf3K+c/f+hLOfLV2wxjiSRJkiTphbbaaivmzp07NzM70jPpfczqastXJF+p69XfepP1OMxefUmSJEldzmBfXe2HN8/j3gXPrJz/yP4zGDfGX3tJkiRJ3c2oR11r2fIVL+jV32aTiRyyx9RhLJEkSZIkrR0G++pal9w8j/sW1vXqHzDdXn1JkiRJPcHIR12psVd/2qYTOeTl9upLkiRJ6g0G++pKF/1+Hg889uzK+Y8cMIOx9upLkiRJ6hFGP+o6y5av4D9+vqpXf7vNJvH2l205jCWSJEmSpLXLYF9d58LfzeXBul79v3nDdHv1JUmSJPUUIyB1lecbevW3f9Ek3ra7z+pLkiRJ6i0G++oqF/52Dg89/tzK+RPeMIMx68QwlkiSJEmS1j6DfXWNpctW8JUr7lk5P/3F6/Pnu/msviRJkqTeY7CvrnH+TXOYu8hefUmSJEky2FdXWLpsBaf/YlWv/o6br89bXjplGEskSZIkScPHYF9d4bwbH2ro1d+RdezVlyRJktSjDPY16i1ZtvwFvfo7bTGZg3fdYhhLJEmSJEnDy2Bfo955NzzEw08uXjl/whtm2KsvSZIkqacZ7GtUW/z8ck7/xb0r53faYjJv3sVefUmSJEm9zWBfo9r3b3iI+U+t6tX/6IE+qy9JkiRJBvsatRY/v5wzrlz1rP7MKRvw5l02H8YSSZIkSdLIYLCvUeu+Bc+QuWr+owfOIMJefUmSJEkaO9wFkAZr5pYbcNWJ+3POdbO5+p6FvHGmvfqSJEmSBAb7GuXWHTeGY/bdjmP23W64iyJJkiRJI4a38UuSJEmS1GUM9iVJkiRJ6jIG+5IkSZIkdRmDfUmSJEmSuozBviRJkiRJXcZgX5IkSZKkLmOwL0mSJElSlzHYlyRJkiSpyxjsS5IkSZLUZQz2JUmSJEnqMgb7kiRJkiR1GYN9SZIkSZK6jMG+JEmSJEldxmBfkiRJkqQuE5k53GXQKBARS9dZZ51xU6ZMGe6iSJIkSVLXefjhh1mxYsXzmTm+E9sz2Fe/RMQzwDjg0eEuSxNblOn8YS2FrIeRwXoYftbByGA9jAzWw8hgPYwM1sPIMJLr4cXA85k5qRMbM9jXqBcRcwAyc6vhLksvsx5GButh+FkHI4P1MDJYDyOD9TAyWA8jQy/Vg8/sS5IkSZLUZQz2JUmSJEnqMgb7kiRJkiR1GYN9SZIkSZK6jMG+JEmSJEldxmBfkiRJkqQu46v3JEmSJEnqMvbsS5IkSZLUZQz2JUmSJEnqMgb7kiRJkiR1GYN9SZIkSZK6jMG+JEmSJEldxmBfkiRJkqQuY7AvSZIkSVKXMdiXJEmSJKnLGOxrrYmI7SLiuIj474i4OSKWRURGxElruN29IuLiiFgQEc9FxB8j4uSIWLePfFMj4r8i4qGIWBIRsyPi6xExdU3KM9J1uh4i4uUR8dmI+GVELIyI5yPi0Yi4PCIOaZPv6LLfdp+DBv9NR7YhqIdT+nE8d2qT3/OhM/XQVx3UPn/RkK9nz4eo7BsRX4yIayNiUUQsjYh5EXFBROy/Btu2feinoagH24eBG6J6sH0YoCGqB9uHAYqId5TftZsi4uFSB4si4tcRcUJEjB/kdnumbRg73AVQTzmhfDomIt4NfBsYA8wFHgJ2BT4LvDUi9svMZ5vkmwn8CtgEeBK4FdgBeD9wWETsm5l3dLKsI0jH6iEidgB+W7fofuABYHvgIOCgiPg2cExmrmixmUeBu1use6IT5RyhOn4+FA8Bs1usW+1cAM8HOlsP17RZtzEws/x8bYs0vXg+HAD8b/l5BXAP8AwwAzgUODQiTs3MkweyUduHAetoPdg+DNqQnA+F7UP/DUU92D4M3N8D+wBLgHnAzcAUYK/yeW9EHJiZi/q7wZ5rGzLTj5+18gFOAn4InEzV0J8PJHDSILc3DVhctvFxIMrybYE7yvKvNsk3BritrD8fmFiWTwIuKMtvBtYZ7mM20usBmE71x/dEYErd8nWAD1M1kAl8uEneo8u6s4b7mIz2eijbO6XkP2WA+TwfOlgPfezr1LLt65qs69nzATiQ6h/YvwY2rls+HvjnclwS+PMBbNP2YZjrwfZhZNRDyWv7MALqoY/92T40Py5HA/sB4xqW70kVpCdw+gC213Ntw7AXwE/vfoCzWLPg5vSS/ydN1u1d1i0FNm9Yd3hZtxCY3LBuclmewCHDfYxGej0A69b+4LVY/7XaH8Am63q28ep0PZT8g/1nzvOhg/XQZrtB1bNpcLP6d98AGNtm/WXl2Fw8gG3aPgxzPdg+jIx6KHlsH0ZAPbTZlu3D4I5b7fdz7gDy9Fzb4DP7GpUiIoDa837fbFyfmb+mukI3Dnh7w+pDy/S8zHy6Id/TwKwye3jHCtylMnNxNrnVqc5Py3THtVEeDYrnw9rxWqoeheeBc4e3KCNLZj6VmcvaJPlZmfbr74jtw+B0uh5sHwan0/WwhjwfWutkPdg+DE7tlvmJ/Uncq22Dwb5Gq22ontmB1s9A1Za/pmH5noPMp4GrDXTyXJs0u0fEORHx84i4KCI+XZ711ODsHxGzyvE8PyJOjIgt2qT3fFg73lOmP87MhW3SeT6srj9/R+rZPgyNgdZDJ7bn+bC6NakH24fO6eT5YPswOHuV6W/bplqlJ9sGB+jTaDWjTGsDdjRzX0Nayqid2zSsb5VvWkSMy8zn16SgPe6IMm03KM3Lyqfm7cDJEfHpzPzckJWse72uYf4w4JSIOD4zz6pf4fmwdkTEBFZd7f9uH8k9H+qUnpjasWv3d6Se7UOHDbIe+mL7MEAdqAfbhw7o5Plg+zAwETGGKmB/G/B5qkETP9HP7D3ZNtizr9Fq4zJdlOWBmSaeaEgLsCGrfu9bjVxaW74O1TNbGoSIeBPwjjL7xSZJFgH/QTXK6uZUV8lfTtXYjQFOjYgPr4WidouHqQYNehWwKdVtbfsAlwPrAWdGxFsb8ng+rB1vBTaiGr33hy3SeD40dxzVcVgKfLmfeWwfOm8w9dCS7cOgDbYebB86q5Png+1DP0TERyMigWVUA/OdDlwB7JmZ1/dzMz3ZNtizr9GqdvvU0jZplpTpek3ytcu7pO7n9VqkURsRsQ3wP2X2jMy8qjFNZl4EXNSw+PfA+yLiMeCjVA3Ytxufj9LqMvPrTRb/OiLeQjVS7CHAv0fEpXWNnOfD2lG7RXNWZi5ulsDzYXURsQdwWpk9KTPv7WdW24cOWoN6aLU924dBWJN6sH3onE6fD9g+9NdcqrsoxlGNnL85sD9wVER8KjOX92MbPdk22LOv0ar2B3F8mzQTyrT+ear6P6St8k6o+7lTzyb2jIjYhKq3YDPgSuBjg9jMp6n+cG5I9a5bDVL5x+3/ltkdgN3qVns+DLGI2BT4szL7nUFupufOh4jYDriU6p+sc4AvDSC77UOHrGE9NNue7cMgdLoeamwfBmYIzgfbh37KzFmZuW9mviYzt6B6hv4B4JPAV/u5mZ5sGwz2NVrVbpfZqDw71czGDWmhuk1qRcP6VvlWAE8NuoQ9KCLWp3odzUzgJuBtmbmkfa7VZeZTVO8zhepdzVoDmXkX8HiZrT+eng9D711UPREPAFcPZgO9dj6UAcN+RvVc5o+Ao9vcctmM7UMHdKAeGrdn+zAIna6HRrYP/TNE9WD7MEiZeR3VhZIlwPsjYtt+ZOvJtsFgX6PV3WU6AdiyRZrtG9KSmUuB2Q3rW+V7YCQNsDHSlUFmLqYaifSPwEFreDtZ7dj7uFFnrHY8PR/Witotmmev4T+GPXE+lJ7fn1H1Mv4SOHwQv3e2D2uoQ/VQvz3bh0HodD20YfvQxhDWg+3DGsjMeVSPM6wD7N6PLD3ZNhjsa7SaDcwvP+/TIk1t+XUNy69rWN/ffGohIsYC51HdQnYf8MY+Xh/T1/bGAC8ps3PWvIS9LSI2A15cZhuPp+fDECmvRKq9GujsNdhOT5wPdT2/uwI3AG/NzMHcDmn7sAY6WA+17dk+DEKn66HNfmwf2hiqerB96JixDdN2erJtMNjXqFSugP6gzB7buD4i9gZ2orraeUnD6gvL9IiImNyQbzKrXoFyfscK3MXKrVBnUb0GZR5wYLnauiaOpRqddjnVc51aMx8DgupWtBsa1nk+DJ33lun1mXnnGmyn68+Hhp7f21iDnl/bh8HrZD2U7dk+DEKn66EPtg8tDHE92D6soYiYxqoe/Zv7St+zbUNm+vEzLB+qfwCSajTTVmk+SvUs07lN1m1H9axOAh8HoizfFrijLD+jSb4xwO1l/fnAxLJ8UplP4BZgneE+RqOkHr5S8i8Adu7nPjcAvge8ukndHEc1uEkCXx/u4zMa6gHYBTgD2KVh+bpUg9csL9v+RJNtej50qB6apLu7bOvDfaTr6fOhfM8flO94DzCln/lsH0Z+Pdg+DHM92D6MjHpoks72oe9j+QrgM8D2TdYdVPe7+aP+1kEvtg3DXgA/vfOhusVlYd1ncTk5nmlYvnVdnlNKmitbbPN9dQ3VHOC3VK/FSOBGYFKLfLtSDUiTVO8vvbFME3gMmDncx2s01APVLWhZPrOpBphp+mnIt1FdvidKvV1ffq4tvwxYd7iP1yiph5fVHbdHy+/zjWVbteXfqDVqng9DUw8N262dG0uBzfooQ0+fD8BRdd/zrjZ/R2Y15GtbD9g+DGs9YPswUurB9mEE1ENDGtuH/tXBfnXf8WGqO09ubvju1zcew77qgB5rG3pqIAcNu3HApk2WTyyfmjH93WBmfici7gE+AexNNcrvfVRXQb+Qrd9ZemtE7A58CjgYeClVz8N5wGczs5ufe+pkPdS/amTr8umPZ4ATqepsV6pBb9aj+mP5I6pX0MzK8te1S3WyHh4ATqY6njtRPb83nuofu8uAb2TmT1pl9nzo7N+lonaL5o+z7+eTe/18qP87MqN8mnlwIBu1fRiwTteD7cPgdLoeHsD2YTCG5O9SYfvQPzcDJwBvoLpDZSeq393HgN9Q/Q6enZnLBrLRXmsbojt/NyRJkiRJ6l0O0CdJkiRJUpcx2JckSZIkqcsY7EuSJEmS1GUM9iVJkiRJ6jIG+5IkSZIkdRmDfUmSJEmSuozBviRJkiRJXcZgX5IkSZKkLmOwL0mSJElSlzHYlyRJkiSpyxjsS5IkSZLUZQz2JUmSJEnqMgb7kiRJkiR1GYN9SZJ6VERcGREZEfv1chnUWkTsV+rnyuEuiyRpYAz2JUnqsIh4oARIfX2OHu6yauRo8XuzOCLuj4izI+JVQ7DPUyLilE5vV5I0/MYOdwEkSepidwOPtln/yNoqSAuzgTuBZ4e5HHqh+t+bDYHpwLuBIyPiLzPzux3c16fL9JQW65+l+h2Z3cF9SpLWAoN9SZKGzj9n5lnDXYhWMvN9w10GNfWC35uI2Bj4L+CdwOkRcWlmPrE2CpKZ1wM7rY19SZI6y9v4JUmSRrAS2B8LPANMBt40vCWSJI0GBvuSJI0gEbFteT770Yh4NiL+EBEfikrtme5pDXkyIrLNNlvlW21wvIi4sSx7Z5vtfaSkubBu2XoRcVREnBsRd0bEn8rn9xFxUkRMGvDBqLb76rLNuRGxNCIeiYhZEfHyFulXHouIODgiroqIpyPiyYi4vFW+kn5sRBwXEb+IiMfK8/L3RcQFEfH2FnneHBGXlHItiYg5EfGtiNhhMN+3lcx8CrirzE5rUo4tSr38pNT34oh4IiJ+GRHvbZL+lPrfmSZjBUwry9sO0BcR20TE18q4AksiYmE5zgev+beWJK0Jg31JkkaIiNgZuInq+ezJwB+pntn+avmsDeeU6VFt0tTWfa9u2StK3sOAicDtwDxgF+CfgKsiYr2BFCQi/ha4FngXsC5wKzCG6nb26yLi0DZ5Pwj8iOp597tKvoNKOVa7Lb3cKn8l1e3y+wFPA7cAk4BDgdOa5Pky8GPgrWXRbVT1djTw24jYeyDftx8mlmmzMRb+CvgK8FpgGVXZnwJeB3wnIr7WkH42cE3d/DUNn8V9FSYiXgPcDHwQeFHZ53NUx/myiPhsv76VJGlIGOxLkjQCREQAZwObAj8BpmbmKzNzW6rg+jhg6looyrnACuDPImKDJuWcBuxJFQxfWrfqIeAIYOPM3DozX5WZOwJbA+cDewAn9rcQEXEQ8G/AY8BhmblpZu6RmZtRBbYBnBURU1ps4t+AYzJzy8x8BTAFuAJYn+aD0Z0J7APcC+yZmdPKd9gcmAGc3lC+DwAnAPcD+2fm5pm5B7AJcBKwAfD9iFi3v9+5nYiYAdTuFvh9kyRXAgcAkzNzein7tsDuVBdePhgRr68lzswzM3Pfuvl9Gz7z+yjPROA8YKMynVJ+X7emutixHDjZHn5JGj4G+5IkDZ1vNbk9uv6zUV3aA6gC4ueA92Tm47UVmXku8DXWwsC6mTkP+CVVT/ohTZIcSRVoX5SZz9XlezAzZ2Xmnxq2Nx94H7CU6o6F/vpc2c+xmXlh/YrM/CZVT/tkqsC/mW/WD3KXmU8Df1tmD6pPGNUr7d4BLAEOzszrGvZ3T2Z+sS79eKoLBsupLkRcWZd2eWZ+DrgA2Ao4vH9ft7mI2CAiDgQuoqr/azLzV43pMvPqzPxFZi5vWP4H4CNldiDHvy//B9iG6o0Sf1GOb22f3wa+XmY/0cF9SpIGwNH4JUkaOn29em9Z3c9vLtNZmbmwSdozgL/pVMH6cA6wP9UdBd9uWHdUXZoXiIh1qG5pfxOwPVUvepTVCcyIiImZ2fZVfxGxLdWFj0cz85IWyS4B/g54PdVjAo2+0bggM2+JiMXAhhGxaWY+VlbVnsf/QWbe3a5sxV7AFsANmfm7NuU7rJRvoK/K+1ZEfKth2Qrg+8Bft8oUEZOpLsbsS3Unw3pUx39CSbL7AMvRTm2QwP/OzGa3/J8GHA/sHRGTMvOZDu5bktQPBvuSJA2dgbx6b8cyvb3F+rupLg6sjbb7fKrb1t8QES/KzAUAETET2A1YAPxvfYZyl8JlVIFwOxvT/Jnzei8t03Uj4uoWaWq3x7d6tOHeFrWskDoAAAYSSURBVMsXUD1asD7VIwIAO5fptX2Uq7F809qUr3bXxmAevahdJAqqiwrbA89TXVxo+sq9MvDgpcCWbba7ySDK0krt9/WPLdbfTXU3x3iqxw/+0MF9S5L6wWBfkqSRYf0yXdBsZWauiIiFVMHfkMrMRRFxOVWP9+FUdxXAql79WZm5rCHb/6MK9O8EPkkVOC/MzKUAETGHKvAd148ibFimG1A9R99O00H/2vQkryjTqFtWG5tgUT/KBqvK96LyaWdAgxIWL7hIFBH7UN3G/6WIeCQzz65PHBFjqJ6b35LqgssXqAYLXJSZyyNiOlXw3Z9j31+139emd65kZkbEAqo6n9zB/UqS+sln9iVJGhlqz7o3DR7LLfKbtttAGeSvmcG89q420n79qPxHNqyr7Xcs1eB8AG/PzAszc15doD+WgV2kqB2LazIz+vhMG9C3aq72vPlGbVOtXr7/6Uf59lvTwmXmNVQDNAKc1mTgxFdTvXXgQeDQzLwqMx+re35/6zUtQxO1Y/DiZivL72Ltd/npZmkkSUPLYF+SpJGh9g711V4LV0yndc9srRd7tQsFEbEhsNkgynMJVUC3T3mXei2gbHxlW22/k4DHM/POJtvalerVd/1VuzV853KRY6jdVqZ79jN9rXy7DkFZmsrMi6jultgE+FjD6mllelNmLmmSvZPP6tfUfl9ntlg/g+oW/uW0fqRCkjSEDPYlSRoZflqmh0dEsx7849vkva9MX9VkXavR6tsqI+1fRHW7+5Gs6uE/NzOzIXltVP4NIqLZbev9fuVe2ffdwK1Uge37BpJ3kC4q03dExA5tU1Z+BSwEdo+I/YasVKv7fJn+TUSsX7e8dvw3b8wQEeOAj7bZ5nMl3UAfN/hJmR7X4vWCtcEkr3FwPkkaHgb7kiSNDFcAvwMmAt+NiI1rKyLiCKpR2Bufk6+5vExPjYiVAV95V/2n2uTrS23E/Xez6jb91Ubhz8xFVL3jY4F/L6+mIyLGRMQ/AO+iGqxtIP6BagT/0yPir8qjACtFxPYR8Y8RcegAt7uazLwJ+AHVoH+Xl1fx1e9rekT8fV36xVTHFWBWRBzS+AhFROwaEV8oz9t3yiVUAzhuzAtH5b+Wqo73iYiVF0fKXR3/Q5OLAHVqF4peP8CyfI/qLo/NgbPqLz5ExHuAD5TZzzfJK0laCwz2JUkaOp+MiKvbfFa+Sq/0lr8XeBw4GJgbETdExANUr1z7BjC3xX6+BMwHXgY8GBG/i4j7qS4CnNEmX19+RjVg4G5Ug7/dnpk3t0j7Carg/APAwxFxQynT54HPAQ8PZMeZeRnV++EnAP8NPB4RN5ZjMp/q1vBTafHM+CAcC/yG6vbz6yPi/rp93Q18uKF8X6P6bpsBFwILI+L6iLgpIh4DbqG6o6Fjg9OV35EvldmP1XrUM3M+8OWy/NsR8WBE3Eh1zN8B/G2bzX6/TC+NiN9GxJXl03aMhfL6xCOAJ6ku5swvx2s21asGxwKnZublbTYjSRpCBvuSJA2dGVSjybf6bF+fODNvA15J1Xv+LNUz4U9RBb0vCDYb8i0o25tV8r0EeAL4y8z8xGALX0bcn1W3aLVe/bq0P6S6SPFrqhHoXwLcA7wnMz/VKl8f+z+d6gLGN6guOuxCdUwXUvUsHw58ZzDbbrKvJ6h6tz9ENSbBxlTH/1mqVxGudvzLsd2H6rg8Q/Vs/DRgDnAm8BaqOzY66WxgHtWAh8fULT+R6nb9O8q6balej/ha4Mdttvd54DNUdTWT6hi8nlWvNmwpM6+j+s5fp6qT3ahG6f8p8JbMPHkA30uS1GGx+mN3kiRpJCq9/NsC22XmA8NbGkmSNJLZsy9JkiRJUpcx2JckSZIkqcsY7EuSJEmS1GUM9iVJkiRJ6jIO0CdJkiRJUpexZ1+SJEmSpC5jsC9JkiRJUpcx2JckSZIkqcsY7EuSJEmS1GUM9iVJkiRJ6jIG+5IkSZIkdRmDfUmSJEmSuozBviRJkiRJXcZgX5IkSZKkLmOwL0mSJElSlzHYlyRJkiSpyxjsS5IkSZLUZQz2JUmSJEnqMgb7kiRJkiR1mf8PF9SUMoIjtAkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure(figsize=(12, 6), dpi= 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "CO_pltrich=plt.plot(phi, p_CO)\n",
    "plt.title('CO mole fraction vs. Equivalence ratio for Rich')\n",
    "\n",
    "plt.xlabel('Equivalence Ratio')\n",
    "plt.ylabel('Mole Fraction p$_{CO}$')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "fig=plt.figure(figsize=(12, 6), dpi= 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "CO_pltlean=plt.plot(phi, q_CO)\n",
    "plt.title('CO mole fraction vs. Equivalence ratio for Lean')\n",
    "\n",
    "plt.xlabel('Equivalence Ratio')\n",
    "plt.ylabel('Mole Fraction q$_{CO}$')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.3 Mole Fraction X${}_{CH4}$  vs RQL Equivalence Ratio ${\\varphi }_R$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure(figsize=(12, 6), dpi= 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "CH4_pltrich=plt.plot(phi, p_CH4)\n",
    "plt.title('CH4 mole fraction vs. Equivalence ratio for Rich')\n",
    "\n",
    "plt.xlabel('Equivalence Ratio')\n",
    "plt.ylabel('Mole Fraction p$_{CH4}$')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "fig=plt.figure(figsize=(12, 6), dpi= 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "CH4_pltlean=plt.plot(phi, q_CH4)\n",
    "plt.title('CH4 mole fraction vs. Equivalence ratio for Lean')\n",
    "\n",
    "plt.xlabel('RQL Equivalence Ratio')\n",
    "plt.ylabel('Mole Fraction q$_{CH4}$')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  2.2.4 Temperature (${K}$)  vs RQL Equivalence Ratio ${\\varphi }_R$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig1=plt.figure(figsize=(12, 6), dpi = 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "T_pltrich=plt.plot(phi, T2_complete)\n",
    "plt.title('Temperature vs. Equivalence ratio for Rich')\n",
    "plt.xlabel('Equivalence Ratio')\n",
    "plt.ylabel('Temperature (${K}$)')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "fig2=plt.figure(figsize=(12, 6), dpi = 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "T_pltlean=plt.plot(phi, T1_complete)\n",
    "plt.title('Temperature vs. Equivalence ratio for Lean')\n",
    "plt.xlabel('Equivalence Ratio')\n",
    "plt.ylabel('Temperature (${K}$)')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.5 CO molar fraction (${X_CO}$) , NO molar fraction (${X_NO}$} vs RQL Equivalence Ratio ${\\varphi }_R$ Graph 1 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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otyrR37bwdaSR6M6E7Kn+hf+xz8H/ADbEHGrang6hJriIKxghp2dYHnui8B/Q1jFT7b68Pv8ET6LmlvFI59yr0RJZnHkm9mTBXYkxwcu7nXM3x0iXHyOL8LsemfoHFnkMROubE748cp3G9id88HakmR3gnFsSnNCEvqMvxOhfFAooxprZlfgRcY7Bf6eH4UdJuw8fCI5L6x4kZyv+hDLR72k0MdvnR2jo//Y/4QeHOMPM2jrnNgXf8bOD5VNi9BUIfe7vAkOC/lq7iWw6VQ/hJ5PtnR99qrE15Pue0fIH/cbeMbPv4UeWG4a/03QRfmSrSOmsy/rYgg+E6vO9yeTvW7O0p17BkWYuOJkIXUEZEjS1SdZL+E6PUL/Ox+Fppzdg++lUGvb3wFiJAqGgoDReogiHBs8bYgUSgYPjLNuTHYDvkAw1d1eiibp/QWfNUDOBQ6OlaQSlYX/XdQyElpfGS5Rmf6XmxCrUR+IEapoBJTKp5E7n3L+dcw84587B3ykLDel5tYVNBLkHKQ2e67rTGm2I45BQc0fqGF63R4JlimUKPnDJp6Y/1Ahq2vz/KdpK1HwHnot28hlI9rcivH/Z4Unm0VCl1NxBru/3fU8of2hAjkupuWv7yxhBQTrrsj5Kg+dE/7+FryONRMGE7MnuCZ4NeCTW7dhIZtbJzKrbmjrnVlLTOesYM7skgTz2p2b0m+VEaXaxh1hIzYhTI2MlMrOe+Ku44G9ZJyp0mz2yeU943seTWH+KPVF4M4Ko+xh0iDw72rLAa8Hz94M5P+qjui9N0KQsGe9Sc4IT7xg4lpo7bfU5BlLKObedmuB8dPC9DjWf+RrfZKm+ea7Dj4cP/vci3kAAmRK6u3mcmXWJliAY///MOHmEj2RVa86ZII8c/BXnpDnnvqBmfp+LI57fc859FmPVOn8vqHsOi1jexg9mATA2yTwaJLh48F7w8vygvhKV8fKHBP8T7w9e7oufoyVSKuoy9PuW7G8b1PxWHWdm3eOkCwW9G4g/d4akgYIJ2WM5594GHgteDgWm1HE1jmCSof+j9pW5G6m5gvxocKs3Vh774kf6yMcPUXmpcy7Rfg+NKijXH4OXp5vZ8Mg0QRvyh6j5QX+8HpsINQkrNLPvRC40s0L8ZFt7q/C+OWdFLgxOdH+PHyEklgeC5wLgD/Fu/QcneuHCJ/yK948yJufcWmo6yV5mZkdG2W5+WDnLiH1lubGEtr8P/rsdOhGYGusqqJnVdUW/f9jfmRhVqy6h72kuvjlWNBOIP1LWR9SckP4oRppbqQkaGyJURycGgejJEe9HE/q9GB7t4o+Z/ZAkA51gIIXQb9eFZnZhvPRmlm9mkcPzpkLoJLw3fo6feGWo/r7vQeUP+S01zbZ+HuViRirqMvT7ltRvW+DJ4Dkb+H2MsozA958CeDLOnRRJl0xPdKGHHvEe+BP6l6mZkOYr/Ayxg/H/dDvib7VeRc2kUg44NEpeJ+Cv4jt8kDAV/wPUA9+pbDC+g/HWsDTjGlD2YuqYXC1IFyrzmGTywneEXkHNhGQT8CdWRcE+vxK2jd/Xpwz4Nt6hz2w1/gpW7+CzH4kfYWMXsCRIMyvZzyGVn2t9thl23FRQM3t4B3xfnX8EyxaFPqMYefwm7DOch5/Yqhe+re9++HbJL+LHpQ9frzO+b5DDB8498CebOdSe8KqU2JN59cO3E3b4K3PX4k/UOwbH+L/Dyjc+yvpDwpb3ifNZjYn3OdSjDrPw32WHD+hC2641oWLYOlX4IZavxX9Xu1Az4/Bt+JNsB3wS53hw+PbfyZQ5dJwkOmldyyh5/G9YOZ7HDzNahG+i8XDw/vI6jrWnqfl9uhM/k3FRkNcfg2XLSGLSuoh0hfimMOF1VA50SOB75/DNBo8I6uhb+ACqkrDvUrS6qOM4L8T/5oT2/0/4IKcrPuDvi7+z8yD+4lHkxIcpOc7xQzCH8nkdP2hD96AMB+HnRphFxCSiDS1/gsdpeB3E3Mcg7S/D0l6Shrp8MFj23+CzLyD4bQOy6vF5Tw7bzj/woxIW4X9bb6Nmkr8vgXYN+W3SI7lHxgughx51PfBXJH6J71jq6nhUAo8CbWLkdTA1M+nGe3wNjGhguUM/xqV1pIt6Il+fvPDtSb+oY5+eBnLrWwb8EJ6VMfLchT+5e4q9N5g4AH8FLdbn9iy+WUK8f3ZZwL34E4R4dXB9lHWfipU+Il0pMU6yguXfpmYm8liPSTHWHRKWpk+cz2pMvM+hnvX464iyzU/wexLvUUqUmYVJbTCR6CPad6EVvhlXrHXeAK6o41jrgm9/HyuP38Y7/hOt6yDtsxF5/7WO9K3wcxnEKttCdp8xvlZdJHCcd6lHXVybjuMcf5FrSgLbrzW7dEPKn+BxWkwC+xikbYe/+ODwF4TCT/BTUZcH4i9wRVu/OCxdXZ93C/zFv3if1efEmFVcj/Q/1MxJ9njOuV3OudvwV21uxLdR/wr/I1WOP/Gfib9j0cc5d6XzbVuj5bUAOBI4B39VaBn+im5ZkOc/8cOA7ueceyGd+5VKzrlF+CtiN+Hb9G7Et1f9Gt8+/TTn3CUuxnwXdeT9LH5Up3/g//FU4O+EPAd82zn3YEp2IkOcn4n2COAJ/KRuO4G1+JO+i51z51Mze3isPKqcczfiO1Y+DnyGv6q7DX+MvYwPSP4YZfXL8fX2ATV3F5LZj7eBAfhReD7CN2EoxweZU4BjnHM/TybvNIlsLlNX06vD8d//f+KHLt2ED3LX4k/OfgIMdDFmFt4TON9f5BT8PA4f4I+PLfgLHD/Bj7ATdyI05ye8OxrfxKYkSP9f/G/gmc65n6awyPWqo2D/hgB34E9Oy/H1NB/f/OooapqbJsU5941zbgj+bsAz+OBjB/57uwbfN6UYOCRdv03OuTLn3Gj8vk4JylCGr8ul+LtO5xNlItI9ofxhZdlITZO7/YHzwpY1uC6dc5/i7yI8h/+fUe//P0E+Fc65i4Dv4Ycq/zrIayN+5MefsYd/95s6cy6p/1siIiKSYmY2hiDodH5+ABGRPZruTIiIiIiISFIUTIiIiIiISFIUTIiIiIiISFIUTIiIiIiISFIUTIiIiIiISFI0mpOIiIiIiCRFdyZERERERCQpCiZERERERCQpCiZERERERCQpCiZERERERCQpCiZERERERCQpOZkuQHNiZtuAXGBNpssiIiIiIs1SZ2Cnc64gFZlpaNhGZGYVWVlZud26dWv0bZeXlwOQl5fX6NuWxqW6bj5U182D6rn5UF03H5ms61WrVlFVVbXTOdciFfnpzkTjWtOtW7ceK1asaPQNz5gxA4Bhw4Y1+ralcamumw/VdfOgem4+VNfNRybrumfPnqxcuTJlrWTUZ0JERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKieSZEREREAOccVVVVVFVVZWT7ZgbAzp07M7J9aTypqOusrCyysrKq88oUBRMiIiLSrFVVVbF+/Xo2bNhAZWVlxspRWFgIwLJlyzJWBmkcqarrnJwc2rdvT1FREVlZmWlwpGBCREREmi3nHCtXrmTr1q2ZLgqtW7fOdBGkkaSqrisrK1m7di07duygZ8+eGblLoWBCREREmq0NGzZUBxJFRUW0bduW7OzsjJRl8+bNQM1Va2m6UlHXu3btYtOmTaxfv56tW7eyceNG2rdvn6oiJkzBRCOrclUsWrMIgLycPPoX9a+V5qtNX7G5PDjI8grp1bZXrTTL1i+jvLIcgE4Fnehc0LlWmtB2ALZVbqMgp2C35WWVZZSsL6l+3a+oH/k5+bul2VS2iRWbV1S/Hth5YK3trNm2hrXb1jb6PvUs7Enb/Lbap4h9Kt1eSp9WfZrUPkHTq6dU7FPp9lIKsgtqLd+b9wmaXj01dJ9Kt5dW71tT2ac9qZ5W/3c1lbsqadu2Le07tKdFTotaacoqy3DOAZCTlUNudm6tNDt27qj+Ozc7l5ys3U+xqlxV9ecSKk+W7d4sJSs7i0pXSSW+qVXL3Ja1trNz104qq/xyM6v1uQBUVFawy+0CINuyM7pPlVWV7NxV0y9A++Tl5OTsVtfJ7FNubi75+fmUVZSxadMmvvjmC7JaZtX5fXK4WttpCAUTjWxrxVYGTR4EwEGdDmLRNYtqpRk/czzPL34egJEHjWTaqGm10pz17FksXrsYgNtPup3iIcW10oS2A3DLfrfw7Q7f3m15yfqS3dIsvHphrR/jmSUz+cHzP6h+7W6vfQA+Mu8R7ph9R6Pv03Mjn2PUwFHapyj79Ooxrza5fWqK9ZSKfTqh6ARGM7pJ7VNTrKeG7NNVn1zl//ik6ezTnlJPzjk+W/MZnVp1omJXBZWbK+lX1K9WPsvWL6OssgyA7m26071N91ppFq2tybtv+74UtSzabXl5ZfluaQZ2GljrJHT7ru2sKl8Fwfnukd2PrLWdtdvX8vWWrwHIz8lnUOdBtdJ8tfkrNpRtAKB9fvuM7tPm8s0s37C8+rX2KSxN+Vq2bt/a4H1aW7mWiooKlqxawmeVnzFqUPzvU5eqLrXyaAgNDSsiIiLN0q5du8i2bHKzciEzLZtEGi7H32XJzcolKwOn9gomREREpFkKNR/J9NCaIg2VyWPYQl8kST8zW9Gte7cer81/DWjcNqlL5y2lIKeAYcOGVb+ndrZNc5/mzJ1Dn1Z9dqvrvX2foOnVUyr2ac7cORRkFzB6eO1mTnvrPkHTq6eG7tOjf30UgBOOP6HJ7NOeUk87d+5k8dLF5GTl0Hvf3uTl5mW0Lf6GjRuodJXVI/2of0HT3adNmzZR6SppVdCqwfu0ZccWvvz8S8ory9mn7z50aN2hVh7h36dTDz+Vr1d+vdI517NWZklQMNGIzGxFjx49eqxYsaLuxCk2Y8YMgFonmNL0qK6bD9V186B6Tp+dO3dWj/Pfv39/cnNrn6g1pk2bNgHQtm3bOlLK3i6VdV3f47hnz56sXLkyZcGEmjmJiIiIiEhSFEyIiIiISFx9+vTBzCgtLc10UWQPo2BCRERERJqlWbNmYWa7PbKysmjbti1HHXUUkyZNYvv27VHXXbx4MVdeeSUDBgygZcuWFBQUsO+++zJkyBB+8Ytf8O6779ZaJxSUtWvXjnbt2vn+FPn57LvvvowePZp58+ale5dTTvNMiIiIiEizd/zxxwN+lK8vvviCefPmMW/ePKZOncrbb79NUVHNnBRTp05l7NixVFRUkJubS+/evSkqKmLNmjXMnj2b2bNn88orr/DBBx9E3Va/fv3o1KkT2dnZbNq0iWXLljF16lSeffZZ/vjHP3LxxRc3yj6ngu5MiIiIiEizN2fOHObMmcPcuXNZsWIFr7/+Ou3atWPRokXccsst1elKS0u59NJLqaioYOzYsaxYsYJly5bx/vvvU1payqpVq3jooYc46KCDYm5r/PjxvPrqq8yZM4cFCxbw9ddfM3LkSHbt2sW4cePYsGFDY+xySiiYEBERERGJcPLJJ3PbbbcB8Je//IWqqioAnn32WcrLy9l///15/PHH6dx59+GPu3btyrhx43j66acT3lb79u158sknKSgoYMuWLcycOTN1O5JmCiZEREREpEFmzJjB8OHD6dKlC3l5efTs2ZMf/ehHlJSURE3/3nvv8bOf/YwjjzySzp07k5eXR69evbj44otZtGhR1HWKi4sxM4qLi9m0aRPXX389vXv3Ji8vj/79+3PnnXdSWVmZ0v369re/DcDGjRtZt24dAMuXLwfg4IMPJisrdafShYWFDBgwAGCv6uiuYEJEREREknb99ddz2mmn8dJLLwEwcOBAtmzZwlNPPcXhhx8etSPy6NGjuffeeyktLaVLly4ceOCBbNmyhSlTpjB48GBmzZoVc3ubNm3i2GOP5eGHH6ZDhw50796dkpISbrvtNq6++uqU7lu0+dgKCwsB+Oijj9i5c2et5Q0R6uzdqlWrlOabTgomRERERCQpjz76KA888AD77rsvb731Ft988w0ffvgh69ev56677mLz5s2cd955lJWV7bbebbfdRklJCevWrWPBggV89NFHrFu3jieeeIKdO3dy6aWXVjcrivTwww/ROlNKAAAgAElEQVTTqVMnvvjiC+bPn8/nn3/Oiy++SHZ2Nk888QRLlixJ2f698847gJ9crmPHjgCcdtppACxbtozTTz+dV155JeaIT/Xx2WefVd/JOfTQQxucX2PRaE4iIiIi0ZSVQYxmOumQtWWL/6NNm9Rl2q8f5OenLr8wFRUVFBcXk52dzfTp0znssMOql2VnZ3Prrbcyf/58pk+fzrRp03YboeiSSy6plV9OTg6XXnops2bNYsqUKbz33nscd9xxUdNNnTqV7t27V7935plnctZZZ/HCCy/wyiuvcMABBzR4/9544w1++ctfAjBy5MjqJk1Dhw7liiuu4LHHHuONN97gjTfeICcnh4MOOohjjz2WM844g9NPP53s7OyEtrN582bef/99rrvuOiorKzn++OM58cQTG1z+xqJgQkRERCSakhIYNKjRNpfCEKLGwoUwcGA6cuZf//oXq1evZvDgwbsFEuGGDx/O9OnTmT17dq3hTpcsWcIzzzzDggULWL9+fXV/hy+//BKAjz/+OGowcdppp9GzZ89a7w8ePJgXXnihuk9DfZ1wwgmAb9r05ZdfsmLFCgAGDBjApEmTdkv76KOPMmzYMH7/+98zZ84cKisr+eSTT/jkk0949NFHGThwIM888wwHH3xw1G2NGzeOcePG7fZeVlYW5513HpMnT06q/JmiYEJERERE6m3BggWA7ywcOhGPtHHjRgBWrly52/uTJk1iwoQJMZsyAaxfvz7q+/369Yv6fmhUpa1bt8YveAxz586t/rt169YcdthhnH322fzkJz+hTZS7RSNGjGDEiBHVdxbee+89XnrpJd5//30WLVrE0KFDWbhwIZ06dYq6D506dSIrK4vVq1ezfPlycnNzGTx4MO3bt0+q/JmiYEJERERE6m3Tpk0ArF27lrVr18ZNu2PHjuq/3377bW655Rays7OZNGkSw4cPZ5999qFVq1aYGRMmTOBXv/pVzM7NBQUFUd8PNUOK1mk6EcmuV1hYyNChQxk6dCgTJkzg+eef57zzzmPNmjU89thj3HrrrbXWGT9+PBdddBFt27YFfCBz9tlnc8MNN9ClSxdGjx6dVFkyQcGEiIiISDT9+vlmQo1kS9BnItpV8KTFuIqfCq1btwbgoosuYsqUKQmvN3XqVABuvPFGbr755lrLv/rqq9QUMENGjhzJueeey7Rp03j//fcTWuf444/n8ccf55xzzuG6665j+PDh1aNG7ekUTIiIiIhEk5+ftv4G0VQFV/oJrlbv6UIzPC+sZ8AVmkMhWn8I8H0l9nZ9+/YFfCf1RJ199tkcc8wxvPfee9x3330UFxenqXSppaFhRURERKTeTjzxRDp27MjHH38cd16ISC1btgTgm2++qbVs5syZe3wwsWbNmjrThObW2G+//eqVd+hOze9///uk+340NgUTIiIiIlJv+fn51UOnjho1ir/+9a+1+h0sXLiQm266abfOzaHO2r/+9a/5/PPPq9+fN28eY8eOJT9NQ9mmysSJEznxxBN55plnqpumhaxatYqrrrqKd955BzPjhz/8Yb3yHj58OAceeCAbNmzYa0Z1ajLBhHknmNm9ZvaemW00swoz+9rMppvZd+qR12Vm5oLHE+kst4iIiMje6uqrr+bmm29m3bp1jBgxgo4dO3LUUUdxxBFH0KFDBw4++GDuueee3U66r7jiCvr27UtJSQkHHHAA3/rWtzjggAM46qijaNu2Lddcc00G96huZsacOXO48MILadeuHQMGDODoo4+mb9++9O7dm0cffZTs7Gzuv/9+jjjiiHrnfcMNNwBw33331Zrsb0/UZIIJ4LvAO8ANwGDgG2AhftjmEcCbZnZnXZmYWSfg7jSWU0RERKTJmDRpEnPnzuXCCy+koKCAjz/+mNLSUnr27MnYsWN5+eWXOfnkk6vTFxYWMmfOHC655BIKCwtZunQpFRUVjB8/nn/961+p7YCeBhMnTuTll1/mxz/+MUcccQTbtm1j/vz5rF27lgEDBnDVVVfx4Ycf8v/+3/9LKv/Ro0fTvXt3Vq9ezR/+8IcUlz71LNlhsPY0ZjYUmAzcBzzrnNsQvN8CKAZ+HiQ90zn3jzj5TAEuAF4Bvg886Zy7LEVlXNGjR48eoUlQGtOMGTMAGDZsWKNvWxqX6rr5UF03D6rn9Nm5cyfLli0DoH///uTm5ma0PKGhVtvuJR2wJXmprOv6Hsc9e/Zk5cqVK51ztWf+S0JTujPxPnCgc25yKJAAcM5VOOduwQcHAJfHyiAISC4CHgU+SGdhRURERET2dk0mmHDObXbOVcZJ8lrwPCDaQjPLx9/ZWAPckuLiiYiIiIg0Oc1pnonQ0AA7YiyfAPQHfuic22hmjVMqEREREZG9VJO5MxGP+chgVPBybpTlBwI3Au84555uzLKJiIiIiOytmsudicuBw4AK4P7wBUGg8Sg+sGrwWGRmFq93ddfy8vLqznSNKTS0WCa2LY1Ldd18qK6bB9Vz+pgZhYWFtG7dms2bN5OTk9nTotCgOKHOudJ0pbKuKysr2bVrF1u3buWtt96qNddHpPLy8gZvM1yTvzNhZocDDwQvJzjnSiKSXAqcCNzvnKvffPAiIiIiIs1Yk74zYWb7Av/A95f4M/CbiOWhOSVWAHekYpvxhtkysxV5eXk9MjG8n4YWbD5U182H6rp5UD2nT/iQmoWFhRoaVhpNqoeGXbNmDW3btuWII46o8zjOy8tr8DbDNdlgwsy64kdw6ga8DIxxte/73AMUAVc657Y2chFFRERERPZqTTKYMLMifCDRD5gNjHLO7YyS9LDg+SEzeyhiWevg+UIzOwPAOdc1HeUVEREREdkbNblgwsxaA/8EBgHz8DNexxoONqRLnGUtg4eIiIiIiIRpUh2wzSwP+DtwNLAIOM05tyVWeufcoc45i/agpg/Fk2HviYiIiIhIoMkEE2aWDTwLfBcoAU5xzq3PbKlERERERJquptTM6QfA2cHfVcC0GLNYr3LOjYq2QEREREREEteUgonwca72Cx7RfNEIZRERERERafKaTDMn59xTsfo/RDz6JJhfcZD+sjQXXURERERkr9RkggkREREREWlcCiZEREREJCbnHHPmzOHGG2/kmGOOoV27drRo0YLu3btz7rnn8tZbb8Vct7i4GDOL+1iyZEkj7o2kWlPqMyEiIiIiKfbmm28ydOhQALKysujfvz8FBQV89tlnvPDCC7zwwgtMmDCBO++8M2YevXr1onfv3lGXtWrVKi3llsahYEJEREREYnLO0b9/f8aPH8/5559P+/btAaioqKC4uJhJkyZx1113cfTRR3PGGWdEzWPs2LEUFxc3YqmlsaiZk4iIiIjEdNRRR/Hpp59y9dVXVwcSAC1atGDixImcfvrpADz++OOZKqJkkIIJEREREYmpsLCQnJzYjVlOOeUUAP7zn/+kvSwjR47EzPjNb34TM81LL72EmXH44YdXv/fUU09hZowZM4YtW7Ywfvx4+vTpQ35+Pn379uXWW29l+/bttfKaNWsWZsaQIUPYuXMnd9xxBwMGDCA/P58ePXowbtw41q+vPUdyaWkpZkafPn0AeOKJJzjssMNo1aoVPXr04Gc/+xlbtmwBYNeuXfz2t79l4MCBtGzZkp49e3LzzTdTUVHRwE+rcSiYEBEREZGklZWVAdCyZcuYad566y1GjRrFd7/7XUaOHMk999zD6tWr672tCy+8EIBnnnkmZprQsgsuuKDWsvLyck466STuv/9+WrduzX777UdpaSkTJ07k5JNPjhpQgG/qdc4551Q31TrwwANZs2YNjzzyCEcffTRr1qyJWZ6f/vSnXH755WzZsoV+/fqxZs0aHnvsMS666CKqqqoYOXIkN9xwA8459tlnH77++mvuvvtuLr/88kQ/loxSMCEiIiIiSXHOMW3aNACOP/74mOnefvttnn/+ed566y2mT5/OTTfdRN++fXnqqafqtb3vf//7tG3blg8//DDqnZDt27fz4osvYmacf/75tZY///zzrFmzhvnz57Nw4UIWLFjAJ598Qq9evXjvvfe4/fbbo2733Xff5Z133uHNN9/kP//5D/Pnz6ekpIRDDjmEZcuWMW7cuKjrrVy5kieffJLXX3+dZcuWsWDBAubPn09RURFvv/025557Lh988AHz589n8eLFLFmyhDfffJMWLVrw9NNPs3jx4np9PpmgYEJEREQkjjXb1rBozSIWrVnEsvXLoqb5atNX1Wm+2vRV1DTL1i+rTrNmW/Qr2Z/+99PqNJvKNtVaXlZZVr180ZpFlFWW1UqzqWxTzPxT7fHHH2f+/Pm0aNGC66+/vtbybt26ccsttzBv3jz++9//sn37dubOncvpp5/Ojh07GDt2LC+99FLC28vLy2PEiBFA9LsTL774Itu2beOEE06gV69etZZXVlby4IMPcsghh1S/N2jQIB5++GEAJk+eXN38KHK94uJivvOd71S/17t3b55++mkApk+fzvLly2Oud/LJJ++2vTFjxgDwt7/9jQcffJBDDz20evmQIUOq93HGjBmxP4w9hIIJERERkTgemfcIgyYPYtDkQZz17FlR04yfOb46zfiZ46OmOevZs6rTPDLvkahpjv3TsdVpZpbMrLW8ZH1J9fJBkwdRsr6kVpqZJTNj5p9KH374Iddddx0Ad911F/369auV5sorr+RXv/oVRx55JEVFRbRs2ZLjjjuOl19+mXPOOQfnHD/5yU9wziW83XhNnULvhdJE6tGjB2edVbsOzzjjDHr37s22bduYO3dureUtWrTgsssuq/X+t771LU444QScc8ycWbu+wI9kFenggw8GoKioiLPPPrvW8sMOOwwgaoCyp1EwISIiIiL18vnnn3PGGWdQVlbGhRdeyA033FCv9c2MX//61wCUlJTwySefJLzud7/7Xbp27crSpUuZP39+9fsbN27k1VdfJScnh5EjR0Zdd//99ycrq/bpr5mx//77A9E7kvfs2ZM2bdpEzfPAAw+MuV6nTp0oLCys9X6HDh0AogZgofUAtm7dGnX5nkTBhIiIiIgkbPXq1ZxyyimsWrWK73//+9UjJdXXgAEDKCoqAmDZsujNx6LJysrivPPOA3a/OzF9+nQqKio49dRT6dixY9R1O3fuHDPfLl26AERt5pTserEm5At9XnUtr88dm0zRpHUiIiIicVwz+BpGHTQKgLycvKhp7jv1PopPKgagMK/2lWiAv5//d8orywHoVNApapp/Xfwv2rT2V8B7FvastbxfUT8WXr1wt9eRTu13Kif1OSnG3jTM+vXrOeWUUygpKeGkk05i2rRp5ObmJp1faN3Kysp6rXfBBRfwwAMP8Oyzz3L33XdjZnFHcQpZu3ZtzGWhEZmi3YFIdr3mQMGEiIiISBydCzrTuSD2lWmAXm1rd/aN1L+of51pDuxwIG3bto25PD8nn4GdB8bNo21+7PUbYuvWrXzve99j4cKFDB48mJdeeinucLB1WbduXfWJeM+etQOneI4++mj69etHSUkJc+bMYb/99mPWrFm0bNkyah+EkKVLl1JVVVWrqZNzjqVLlwL+jkmkr776iq1bt9K6detayz799NOY6zUHauYkIiIiInGVl5dz1lln8e9//5uBAwfy6quvNvhK/H333YdzjrZt2zJ48OB6rx+6A/HMM8/wl7/8hV27dnHmmWdGPeEPWbFiRdTRo15++WW++OILCgoKog5xW1FRwZNPPlnr/YULF/LOO+9gZtWT9zU3CiZEREREJKZdu3Zx/vnn8+abb9KvXz9ee+216r4O8SxatIhrrrmGRYsW7fZ+WVkZEydO5O677wbgpptuokWLFvUu10UXXQTAtGnTmDJlChB7FKeQnJwcrr32WhYsWFD93uLFi/nxj38MwFVXXRU1SMrJyeH2229n9uzZ1e+tWLGCSy65BIARI0bE7Ezd1KmZk4iIiIjE9Nxzz/G3v/0N8J2fR40aFTVdt27dqiewA9i5cyeTJ09m8uTJdOrUid69ewO+WVBopulLL72Um2++OalyHXDAARx66KF89NFHrFu3jnbt2nH66afHXWfkyJEsXbqUQw45hIEDB2JmLFy4EOccgwcP5o477oi63nHHHUebNm0YMmQIAwYMoKCggAULFlBZWUnfvn156KGHktqHpkDBhIiIiIjEVF5eXv33Z599xmeffRY13T777LPb6z59+nDnnXfy7rvvsmTJEpYuXUpFRQWdO3fme9/7HpdddhnDhg1rUNkuvPBCPvroIwDOPffcOu9w5OXlMXv2bG677TZeeOEFVq9eTe/evbnggguYMGECBQUFUdczM/76178yceJEpkyZwuLFi+nUqRNnn302v/zlL2OOHtUcKJgQERERkZjGjBlTPWNzfbRr144JEyakvkBhbrzxRm688cZ6rdOmTRt+97vf8bvf/a5e6+Xm5nL77bdz++2315m2T58+cYd1PfHEE9m4cWPMzvbJfuaZoD4TIiIiIiKSFAUTIiIiIiKSFAUTIiIiIiKSFAUTIiIiIiKSFHXAFhEREZEmLdkOzUOGDInbkVp0Z0JERERERJKkYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERESaJTOr/ruqqiqDJRFJXvixG35MNxYFEyIiItIsZWdnk52dDcC2bdsyXBqR5ISO3fDjuTFpaFgRERFplsyMNm3asHHjRtasWQNAQUEBWVmZudZaWVkJwM6dOzOyfWk8qajrqqoqtm3bVn3stmnTJiN3JhRMiIiISLPVsWNHtm/fTkVFBd98801Gy7Jr1y6A6pNDabpSXdctWrSgY8eOKcmrvtTMSURERJqt3NxcevfuTbt27TLSRCTc1q1b2bp1a0bLII0jVXWdnZ1Nu3bt6N27N7m5uSkoWf3pzoSIiIg0a7m5uXTr1o2uXbuya9eujM14/NZbbwFwxBFHZGT70nhSUddmRnZ2dkaaNoVTMCEiIiKCPznLycncqVEoiMnUFWZpPE2prtXMSUREREREkqJgQkREREREkqJgQkREREREkqJgQkREREREkqJgQkREREREktJkggnzTjCze83sPTPbaGYVZva1mU03s+/EWO8wM/ulmc02s3VmttPM1pjZK2Z2TmPvh4iIiIjI3qIpDQ37XeD14O8qYBmwDdgPGAGMMLO7nHO/CK1gZv2AD8Py+BwoBfoCpwGnmdn/AmOdc1Vp3wMRERERkb1Ik7kzARg+gLgG6Oic2985dzjQAZgUpJlgZmdErLMKuAno7pzr65w7EugIXAs44IdBniIiIiIiEqYpBRPvAwc65yY75zaE3nTOVTjnbgFeCd66PGydFUB/59w9zrlVYetUOeceAh6Nso6IiIiIiNCEggnn3GbnXGWcJK8FzwPC1ilzzm2Ps87MyHVERERERMRrMsFEAvKD5x1pXkdEREREpFloFsGEmRkwKng5tx6r/iCJdUREREREmgVzzmW6DGlnZlfg+z9UAAc550oSWOdUYEbw8iTn3NsJbmtFnMVdO3bsmD1lypREskqpsrIyAPLz8+tIKXs71XXzobpuHlTPzYfquvnIZF2PHj2adevWrXTO9UxFfk3+zoSZHQ48ELyckGAg0RuYGrx8JNFAQkRERESkOWlK80zUYmb7Av/A9334M/CbBNYpwo/81BGYBYyvzzbjRXlmtiIvL6/HsGHD6pNlSsyY4W+yZGLb0rhU182H6rp5UD03H6rr5iOTdZ2Xl5fS/JrsnQkz64ofwakb8DIwxtXRpsvMWgP/BA4C/g8Y7pwrT3dZRURERET2Rk0ymAjuLrwG9ANmA6OcczvrWCcP+DtwNLAYOM05tyXdZRURERER2Vs1uWAi7O7CIGAecKZzLu7QrmaWAzwHfBdYDpzinFuX7rKKiIiIiOzNmlQwEXF3YREJ3F0Iho19ChgOfA0Mdc59neaiioiIiIjs9ZpMMGFm2cCz+LsLJfi7C+sTWPUB4CJgHT6Q+Dx9pRQRERERaTqa0mhOPwDODv6uAqb5mw61rHLOjQIws2OBa4P3dwCPx1gH59wJKS2tiIiIiMherikFE+HjXO0XPKL5IsY6vYKHiIiIiIgkoMkEE865p/B9H+qzziwg+q0IERERERGJq8n0mRARERERkcalYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKiYEJERERERJKSk+4NmNkRwPeB7sBm4GPgFefc+nRvW0RERERE0ietwYSZTQauACxiUZmZPQ7c4pzbls4yiIiIiIhIeqStmZOZjQOuBB4BDgYKgf7AWcA/gmX/Z2Y90lUGERERERFJn3TembgceNw5d23Ye1uB5cBLZnYQ8Bww08wOd86Vp7EsIiIiIiKSYunsgD0A+Fushc65xcApQBFwXUM3Zt4JZnavmb1nZhvNrMLMvjaz6Wb2nTrWP9bM/m5ma81sh5ktNrNfmFl+Q8smIiIiItIUpTOY2FFX/s65VcCDwAUp2N53gXeAG4DBwDfAQqANMAJ408zujLaimV0UrDscKAc+xTfJ+iXwtpm1SkH5RERERESalHQGEx8BQxNI92/8iXtDGbAMuAbo6Jzb3zl3ONABmBSkmWBmZ+y2klkf4EkgG/gZ0CtYbz9gKT4wuScF5RMRERERaVLSGUw8AVxuZkfWka49UJWC7b0PHOicm+yc2xB60zlX4Zy7BXgleOvyiPVuBPKAmc65e51zLljvC2BskOYKM+uSgjKKiIiIiDQZaQsmnHPPAG8Ar5nZGDOLHB425ArggxRsb7NzrjJOkteC5wGhN4IynRO8fDJKnu8CS4Bc/ChUIiIiIiISSPcM2KPwAcUfgM/N7E4zu9DMTjWzy8zsXXxfh0lxc0mNUEfqHWHv9Qa6BX/PjbFe6P2j01EoEREREZG9lQWtetK7EbMfADcBhwVvOXwfh3XA9c65P6d5+wb8X7D9h0LD1ZrZUPwdi3KgpYvyYZjZLcCvgHecc99OYFsr4izu2rFjx+wpU6YksRcNU1ZWBkB+vganaupU182H6rp5UD03H6rr5iOTdT169GjWrVu30jnXMxX5pW2eCTPrCzwMPOicew54zsx6AYfgR1haCfy7keaXuBwfSFQA94e93z543hgtkAhsiEgrIiIiIiKkd9K6G4D9gbdCbzjnvgK+Cr02s15mttM5tzpdhTCzw4EHgpcTnHMlYYtD4WBFnCxCwU7LRLYXL8ozsxV5eXk9hg0blkhWKTVjxgwAMrFtaVyq6+ZDdd08qJ6bD9V185HJus7Ly0tpfunsM3Ea8IBzbkecNAYsM7ML01EAM9sX+Ac+aPgz8JuIJGXBc4s42YQ+8Xj7ISIiIiLS7KQzmOiBn2siJufcl8Cz+EnlUsrMuuL7Q3QDXgbGRGnKFGrC1C7OaFPtI9KKiIiIiAjpDSY2AW0TSDcDODSVGzazInwg0Q+YDYxyzu2MkvSz4DkP6B4ju74RaUVEREREhPQGEx8DpyeQbjWxT+TrzcxaA/8EBgHzgDPjNLX6Mtg+wPEx0oTe/3eqyigiIiIi0hSkM5j4X+BHZlbXcKq9qOm70CBmlgf8HT8nxCLgNOfclljpg2ZPfw1eXholv+OAA4CdwIupKKOIiIiISFORzhmwpwBvAv80s3Fmlh2ZJuincDUpuOof5P8sfhK8EuAU59z6BFa9Fz+a06lmdmOo74SZ7YOfbA/giXSOOCUiIiIisjdK59CwAOcAfwIeBH5hZlOBhcA3+A7alwFHAENTsK0fAGcHf1cB02L0qV7lnBsVeuGc+9zMLgf+CNwDXGdma/DNpHLxk93dmILyiYiIiIg0KWkNJoIJ6X5gZmfjT8ivxw8HGz4D9iXOuVkp2Fz4oLn7BY9ovohSzqfNbBnwc+A44CBgOfAMcLdzLiXNsEREREREmpJ035kAwDn3N+BvZtYJOBhoh787Mc85F2/CuPps4yngqQas/y5wZirKIiIiIiLSHKQsmDCznwO/jjKXQzXn3Fp8PwoREREREdnLpbID9q+Ad8ysb50pRURERERkr5fKYGIpvr/Bx2Z2RQrzFRERERGRPVAqg4nDgIeBVsBkM3vZzLomurKZPWVmU1JYHhERERERSaOUBRPOuTLn3LXAacAq/OzXC8xsVPw1wcxyg/XOSVV5REREREQkvVI+aZ1z7jX8HA1/AToAz5rZFDNrG57OzPLM7HAzGwvMBDoDy1JdHhERERERSY+0DA3rnNsIXGBmf8c3fboAOMnMngT2B76FnwciNCt2aO6Jiekoj4iIiIiIpF5Kgwkzawkcg59L4mB80JCHDxZ6AL8IJQW24GfDXhA8XnPO/SeV5RERERERkfRJ5TwTJwIvAoWht4LnSmAxfrSn04F8YCVwjnPug1RtX0REREREGlcq+0xMAtoCXwK/A34IHA60ds4Ncs6dCxwJzMffpZhrZhPMLOX9NkREREREJP1S2czpW8Bm4LCgz0QtzrnFZnY0UAzcBNwBfM/MLnbOlaSwLCIiIiIikmapvCvwJfBJrEAixDlX6ZybAJyAH73pGOAjM7syhWUREREREZE0S+U8E4OAk+qR/iEmoTkAACAASURBVN/AocAj+InuHjGzl1NVHhERERERSa+U9ldwzrl6pt/hnPsxMAz4Gj9xnYiIiIiI7AX2iM7PzrnX8UPJ/jnTZRERERERkcSkZdK6ZAR9LS7OdDlERERERCQxe8SdCRERERER2fsomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQomBARERERkaQ0mWDCzPY1s8vN7HEz+9jMKs3MmdmEOtZrY2a3mdl8M9tqZhVm9qWZTTWzwxur/CIiIiIie5ucTBcgha4LHgkzs87AO8AAoAr4HNgK9AMuBM4zs4udc8+kuKwiIiIiInu9JnNnAlgH/AO4DTgdmJ7AOhPxgcRSYKBzrr9z7lCgK/AYkA38j5kVpqfIIiIiIiJ7ryZzZ8I5d1f4azM7P4HVvh883+icWxKW1zYzGweMADoCxwOvpKqsIiIiIiJNQVO6M5GMlsHz8sgFzrlK4IvgZZMJukREREREUqW5BxOfBM/HRS4wsyLgAKAS+KgxCyUiIiIisjdo7sFEMbATuNfMfmRmXcyswMyOx/e/KAB+7Zz7KpOFFBERERHZE5lzLtNlSAszewr4IfCLyP4UEelOAu4EToxYVApMcM5Nred2V8RZ3LVjx47ZU6ZMqU+WKVFWVgZAfn5+o29bGpfquvlQXTcPqufmQ3XdfGSyrkePHs26detWOud6piK/5n5nAmBfoDPg8H0kFgA7gD7AZWbWJ1MFExERERHZkzXrjsVm9nP88LBLgEOdc58E77cG7gcuBeaa2UHOuU2J5BkvyjOzFXl5eT2GDRvW8MLX04wZMwDIxLalcamumw/VdfOgem4+VNfNRybrOi8vL6X5Nds7E8GEdbcFL8f8//buPEqysjz8+PdhmRkQlH1xAgyrIoiya0BEUSRHRUVRUFQg6g93fia4JOT8TESj0SQSN+ISOYqKGsSFiIALEFcQQREEkU1gZoCBQdZhfX5/vG8xNW1VT/edrqWrvp9z7rldd33qPtXd96n73ve2CgmAzLwbOAa4HHg88Kb+RyhJkiQNt7EtJoA9gHmUJ15fMHFm7Rr23LZlJUmSJLUZ52Ji3SksE3XsnVCSJEnSBONcTFxVx+sAe02cGRFrAM+sL3/fr6AkSZKk2WKci4mLKfdEAJwcEbu0ZkTEusBJwJPqpP735SpJkiQNuZHpzak+aO5bbZPWqeP3RMSxbdN3zcwbMjMj4tXA9ylPur4kIq4H7gS2B9aqyx+fmRf1OHxJkiRp1hmZYgJYE9iww/S169CyeuuHzPxVROwM/A1wEOWZE/OBW4HvAp/IzB/1LGJJkiRpFhuZYiIzz2X5DdPTWW8hpZj4m5mOSZIkSRpl43zPhCRJkqRVYDEhSZIkqRGLCUmSJEmNWExIkiRJasRiQpIkSVIjFhOSJEmSGrGYkCRJktSIxYQkSZKkRiwmJEmSJDViMSFJkiSpEYsJSZIkSY1YTEiSJElqxGJCkiRJUiMWE5IkSZIasZiQJEmS1IjFhCRJkqRGLCYkSZIkNWIxIUmSJKkRiwlJkiRJjVhMSJIkSWrEYkKSJElSIxYTkiRJkhqxmJAkSZLUiMWEJEmSpEYsJiRJkiQ1YjEhSZIkqRGLCUmSJEmNWExIkiRJasRiQpIkSVIjFhOSJEmSGrGYkCRJktSIxYQkSZKkRiwmJEmSJDViMSFJkiSpEYsJSZIkSY1YTEiSJElqxGJCkiRJUiMWE5IkSZIasZiQJEmS1IjFhCRJkqRGRqaYiIitI+L1EfGZiPh1RDwUERkRx09x/ZdHxPci4uaIuD8ibqqvj+517JIkSdJstMagA5hBb6/DtETEXOBrwMF10jXA9cBmwHOBjYD/mqEYJUmSpJExSsXEEuAM4ALgQuB1wEunsN7nKYXE+cAbMvPK1oyI2BjYdeZDlSRJkma/kSkmMvOE9tcRcdjK1omIg4DDgSuAgzLzvgnbvBU4eybjlCRJkkbFyNwz0dCxdXzCxEJCkiRJ0uRG5srEdEXEWsABQAL/ExH7A68GFgB3AP8LfC4z7xpUjJIkSdIwG9tiAngK5f3fBLwLePeE+YcAx0XE8zPzkn4HJ0mSJA27yMxBx9ATEXEy8FrgHybeT1HnvwT4BvAgsCbwHeA44FpKoXESsBvwR2CnzLx7ivu9cZLZm2200Uarn3LKKdN4JzNj2bJlAMybN6/v+1Z/mevxYa7Hg3keH+Z6fAwy10cccQRLliy5KTP/Yia2N873TDymjtekdAf70sy8MjMfyMwLgecD9wJbAkcNKEZJkiRpaI1zM6dlbT9/MjMfbJ+ZmYsj4lTgaOAg4GNT2ehkVV5E3Dh37tz5z3ve85rEu0rOOussAAaxb/WXuR4f5no8mOfxYa7HxyBzPXfu3Bnd3jhfmVja9vMVXZb5XR0v6G0okiRJ0uwzzsXElW0/399lmdb01XsciyRJkjTrjG0xkZk3AjfUl9t0Waw1/abeRyRJkiTNLmNbTFRfr+PXTJwREfOAV9SXP+xbRJIkSdIsMe7FxIeBu4F9IuLvI2I1ePSBdicBm1Purfj04EKUJEmShtPIFBMRsU9ELGkNwGF11nvap0fEFq11MnMx8ErgAeAEYGFEXAAsojyj4l7gsMy8tb/vRpIkSRp+I1NMUJ4XsWHb0Or3au0J01e4mTozvwPsAZwKJPBU4B7gC8DumXl2P4KXJEmSZpuRec5EZp4LRMN1LwUOn9GAJEmSpBE3SlcmJEmSJPWRxYQkSZKkRiwmJEmSJDViMSFJkiSpEYsJSZIkSY1YTEiSJElqxGJCkiRJUiMWE5IkSZIasZiQJEmS1IjFhCRJkqRGLCYkSZIkNWIxIUmSJKkRiwlJkiRJjVhMSJIkSWrEYkKSJElSIxYTkiRJkhqxmJAkSZLUiMWEJEmSpEYsJiRJkiQ1YjEhSZIkqRGLCUmSJEmNWExIkiRJasRiQpIkSVIjFhOSJEmSGrGYkCRJktSIxYQkSZKkRiwmJEmSJDWyxqADUI89/DAsWcKcpUvL65tvHmw86rmB5Tqzv/sTc26/vfywePFgA+m3MfuszbnttvLDokWDDWTcDOBzNreV64UL+75v9dcKud50U1h99cEGtAosJkbdzTfD/Pk8a9BxqG/M9fgw1+PBPI+P/QcdgPpm//YXN94I8+cPKJJVZzMnSZIkSY1YTEiSJElqxGZOo27DDeG887jgggsA2GuvvQYckHrNXM+QiEFHsFK/qLne21yPtFmX51nwuzOsfvGLXwCw9957DzgS9doKud5oowFHs2osJkbd3Lmw334sve++8nq//QYbj3rOXI+PO+69t/zwjGcMNhD1lHkeH3fcc0/5Yd99BxuIem6Ucm0zJ0mSJEmNWExIkiRJasRiQpIkSVIjFhOSJEmSGrGYkCRJktSIxYQkSZKkRiwmJEmSJDViMSFJkiSpEYsJSZIkSY1YTEiSJElqxGJCkiRJUiORmYOOYWxExAOrrbbamptvvnnf933//fcDMHfu3L7vW/1lrseHuR4P5nl8mOvxMchcL1q0iEceeeTBzJwzE9uzmOijiLgHWBO4ZQC736yOFw9g3+ovcz0+zPV4MM/jw1yPj0HmehPgwcx8zExszGJiTETEjQCZ+ReDjkW9Za7Hh7keD+Z5fJjr8TFKufaeCUmSJEmNWExIkiRJasRiQpIkSVIjFhOSJEmSGrGYkCRJktSIxYQkSZKkRuwaVpIkSVIjXpmQJEmS1IjFhCRJkqRGLCYkSZIkNWIxIUmSJKkRiwlJkiRJjVhMSJIkSWrEYkKSJElSIxYTQySKfSPiwxHx84i4IyIeiIiFEXFaRDyrwTY3i4jXRMTHI+KCiLg/IjIiPjvF9XeMiC9FxKKIWBYRV0fERyJivem/Q7UMU64jYoeIeE9EnB0RiyPiwYi4PSJ+FBFHRYR/J1bBMOW6y7aeU9fNiPj+dNfXcsOa64h4bt3/wrr+4og4NyKOm248KoYt1xExJyLeXmP5U/07vigiTo+IZzd7l4Ke5XrXiPiniDgvIpbUfN0SEWdGxEumsP5wnZtlpsOQDMABQNbhYeBK4FfAXW3T3zfNbR7btm778NkprPss4N66/C3ARcA99fXVwKaDPmazdRiWXAOrT1j2BuBC4Oa2aWcB8wZ9zGbrMCy57rKdecBVbet/f9DHazYPw5ZrIIBPTfj9vgC4FngQWDLoYzZbh2HKNbA28NO25a+t/6+Xtk1756CP2WwdZjrXwLYT8nsN8Evg9rZpJwOrdVl/6M7N/MZxuATwB+BNwEaZ+YTM3A3YEPjnuszxEfGCaWzzTuAc4P3Ai4CPTSmQiHWBrwJrAf8BzM/M3YEtgZ8A2wCfm0YcWtGw5DqAO4ATgG0zc4vM3DMzNwVeAdwHHFjnq5lhyXUnxwPbAd9uuL5WNGy5fj9wDPBbYK/6+71XZm5dYzpqGtvSioYp1+8Ang7cCjwtM7eu/683Ad5bl/lARGw3jVi03EznOoBFwLuAx2fmNpm5B7AR8FZKUfDaur8VVxzWc7NBV3wOK1SbjwXWmGT+dykfsm+twj7ey9S+6TiuLnc5sPqEeVtSvtVKYLdBH7fZOAxLril/1NafZP676jZup8u3JA6zI9cd1tkRuL/u/0i8MjFSuQZ2Bh6ifHO5yaCPzagNQ5brn9Xl3tpl/sV1/hsHfdxm4zDTuaZcEV57kvmtq4m/7jBvKM/NvDIxRDLzzsx8aJJFzqnjHfoQziF1fHJmPtw+IzP/CLTaVr+sD7GMnGHJdRZLJ1nk7DpeH9i4l7GMqmHJdbuICOA/gUeAt/Rrv6NuyHL9FkozxhMz85Y+7G+sDFmu16rja7rMv7qO1+hDLCNnpnOdmcsy895JFmn93+20vaE8N7OYmF3m1fF9vdxJRKwB7F5f/qTLYq3pe/cyljHWl1xPwby2nwcdy6gaRK7/GngG8M+Z2e0ERDOvn7l+YR2fERG7RcQnIuKciPhWRPxdRGzShxjGWT9z/Zs6/suJMyJiLsv/n1/Yh1jG0UznuuP2hvnczGJilqjfJB5aX3b7EM2UBcCa9eduJxqt6dv3OJax0+dcr8zL6/i3mXnnQCMZQYPIdURsDHyI0gb4Q/3Yp/qb64jYDHg8pbnDsyg3Xb8JeA5wMKVN/lUR8ZxexjGuBvB7/UHgbuC4iHhHRMyPiLUi4qnAaZT/6adk5s/7EMtY6VGuW/93J25vAUN6bmYxMXu8HtgVeAD4aI/3tX7bz92awLSmr99lvprrZ667ioidWX4D2L8MKo4RN4hc/zuwAfCWzLy/T/tUf3O9eR0n8K+UYmI3YC6wE6VZxmOB0yJiix7HMo76+nudmZcD+1Dy+hHgRkpvPxcDT6Pc1PvaXscxpmY01xFxIPDi+vLDE2YP7bmZxcQsEBG7ASfWl8dn5tWTLT8D2pu2PNBlmdZJyFpd5quBAeS6WxzrUb7RmgN8NzO/OIg4Rtkgch0RBwCvAv47M8/q9f5UDCDXj6nj1SjfWD8/My/OzAfqieeLgIWUguLYHscyVgb4N3xLYFNKpxoLgUsouW/12rVLn+IYGzOd64jYEvhSffnJzDx/wiJDe25mMTHkImJr4AzKh+jLlG8dem1Z289zuiwzt45tRz9DBpTrTnHMBb5JufnrMuCIQcQxygaR64iYB5xEOcH4v73en4oh+Bv+hYmdLGTmfZTPAsBBfYhnLAzqb3hEvIrSvfN8YP/MnJ+Zu1IKiRMoV6XOr/FpBsx0riNiA+BMSvew51K6+51oaM/NLCaGWG33eg7lkvX/AEdm7f+rx9r/8XS7VNaaPllPQJqiAeZ6YhxrUPqwfiZwHXDgSnp70jQNMNfvojxT4h8z88Y+7G/sDcnf8Cu6LPO7Ol7Q21DGw6ByHRFrUpqyBXBsZp7XmlevRP0DpXegdYF39zqecTDTuY6IdSjdyz6J8gC6g7s0QR3aczOLiSFVq9RzKE9KPA84NDMf7NPur6P0VQzlASidtKZf1fNoRtyAc90eRwCfpzSBWAQ8JzMX9juOUTbgXO9ax++MiMXtA8sv1T+jbbpt6VfBEPwNb52MdLsvpjV99Z5HM+IGnOvtKc2bAH7QZZlWd6F79D6c0TbTua4tAb5F6X3pcuCgzLyry+LXMaTnZhYTQ6itSt2Z0pXbC+tl6b6o/Sn/qr7cp8tirem/6H1Eo2vQuZ7g45QmTbcBzx3U/RqjaohyvTHl5KN9eGydN6dtmieZDQ0617X/+VY3oCs76bip9xGNrkHnmnLFYWWijudNupQmNdO5ri0BvgY8m9IL03Mzc0m35Yf53MxiYshMqFIvY/IqtZe+UcdHRsQKJxX1JqFWl4Kn9TWqETJEuSYi3k/puemuGsdlg4hjVA1DrjPzxZkZnQbKDZoAP2ibfl0/4xsVw5Dr6mt1fHhtCjNRq3efH/YpnpEzJLm+mtJrF8ABXZZp/b/+fe/DGU0znevaEuBkSlfNC5l6S4ChPDezmBgi9YNxKqVKvZpSpd4+hfWOjYjrIuLUGQznJGAJsCPwb61/RhGxIeVmozWAMzPzohnc59gYplxHxDuAv6PcsPWCzPzlTG1bw5Vr9daQ5fqzwA2UeyJOjIg5rRjrlwet7iz/fQb3OTaGJdf1m+xWz2wfjYj92vY1JyLeBzy3TrJXvgZ6lOsTKT3rLaEUEtdOMZyhPDfz0erD5eUs71/4EeDrpXj9M4sy89C21+sBW1Ha062gtnu+uG3S2nV8RES8uG36izLz0QekZOadEXEYpbeCt1G+3foj5QO8dt3X0VN+Z5poKHIdEY9neS8UdwEf6BIHwMsyc3G3mepqKHKtvhiaXGfmfRFxCKUd/RuBwyLiD5TiYmPgYeANtatYTd/Q5Bo4Bjif0j3seRFxE3ArpV1/qxnUZzLzG6iJGc11RDyd8uwPKF/ifabb/93M3HfC66E8N7OYGC5z237enu5PMLx+GttcndI9XKd9te/vzy6DZ+YPImIP4HhKRf5kSvva04ET7OVnlQxLruewvD3tJnXoxva2zQxLrtV7Q5XrzPxlROxC+Rt+EPBU4A5KU4kPZeYF04hDKxqaXGfm9RHxFMozQw5m+U3ZS4EfA5+1kFglM53r9u1tUYcpG8ZzsxhA75OSJEmSRoD3TEiSJElqxGJCkiRJUiMWE5IkSZIasZiQJEmS1IjFhCRJkqRGLCYkSZIkNWIxIUmSJKkRiwlJkiRJjVhMSJIkSWrEYkKSJElSIxYTkiRJkhqxmJAkSZLUiMWEJEmSpEYsJiRJkiQ1YjEhSZIkqRGLCUmaJSLiuojIiFgwzjGou2HIT0ScXmN4waBikNQ/FhOSxl7bCdjKhiMHHauGR5fPzbKIuDYiTomIPXuwz2Mj4r0Rsd5Mb3sG7VLHlw40Ckl9scagA5CkIXIVcMsk82/uVyBdXA0sAx4ccBxaUfvn5nHAdsCrgMMi4qjM/OIM7utYYCvgZOCODvMH+hmJiMcAWwN3Zub1g4hBUn9ZTEjSch/IzJMHHUQ3mXnAoGNQRyt8biJifeDTwMuAT0TEGZm5tB+BDMFn5MlA4FUJaWzYzEmSpBlUC4e/Bu4B1gUOHGxEffXkOv7NQKOQ1DcWE5K0CiJiq9o+/paIuDcifhMRb47iz26GjYgFddp1k2wzIyI7TF9hexGxU319e0TMmWR7F9XlDm6btnNE/GNE/CwiFkXEA3X8jYj4y4bHYo2IOCYifhwRd9T7B66IiBMi4rEre68R8VcRcX5E3BURf4qIMyNi15Xs7/UR8aOIuK3u75qIOC0iXjQT8TWVmXcCv68vF3SIZVrHPyKOrMdpqzrp2gn3auxfl5v0BuyI2DAi/iUiroyI+yJiaUScGxGvioho8l4jYrOI+GhEXAt8qk5+Q0RcHRHHR4StIKQR5i+4JDUUETsC/wtsSGmnfhmwMfBx4Em93n9mXhYRl1K+DX4e8J0OMe4A7AYsBb7XNuujwAGUdveLgIXAlsBLgIMj4jWZ+eWpxlJPxr8D7Ac8AtwA3AXsAPw9cEhE7J+ZHe9JiYhjgE8Ciykn4U8ADgL2jYg9M/OKCcuvX/e3T510PXBNfQ+HALsD35qp+Bpau47v7TBvusf/ZuAnwB7AXOCXwP1t8/+0smAiYjvgh8AWwAPAb4H1gGfW4cCIODIz/6yQnWSb+wKnAxtRjumDwOqUXGwPvA/YBjh6qtuUNLt4ZUKSGqjf4p5CKSTOAuZn5h6ZuRVwOPB6YH4fQmmdcB7eZX5r+mmZ+UDb9JOAXTJz/cx8UmbuDmwCvBi4D/hURKw7jTj+k3Ki/gNg+8xckJlPBjYDvgHsCHxikvX/FTg6Mx9fY9m8bmsd4L0dlv8vSiFxNfC0ur89M3NTyknsxH2tanzTEhHbA9vWl5d0WGRaxz8zz8zMfSnFFsChmblv23DxSuIJ4CuUQuI8YMvM3D0ztwX+itIk6zXAMdN4j08EzgA2AN5MufH6EeBhSo9Oh9VFj4qInae6XUmzTGY6ODg4jPUAXAfkFIb12tY5oE67F9iowzZPbFtvQdv0BXXadZPEk+XPc9c427e3FeUE7m5g7Q7r/K6u8+xpHI/31XVeOcUYdmm9J2DdDuusDfyxxrlVp/cK/EeH9Z5c590xYfqedfoySmGwsvfTOL4pfm6ObJv2WOA5lKtUCfy4wedxWsd/KvNrTK1jtlmH9Y5rO0YxxTjPret8uL5+Qn19WdsyF9Zp75jucXBwcJgdg82cJGm5lXUN+1Dbz8+r469n5pIOy34SeNtMBdZNZl4fET+lfEt/MHBqa1693+CJlGY0505cNyK2BF5JaQa1EdC672KTOn4Ky698TOYldfy1zLyrQ4z3RsT3gaOAZ1CaJE302Q7rXRoRy4DHRcSGmXlbndW6H+L0zLyqT/FN5vMR8fkJ0x4Bvgq8sdtKM3j8p6J1E/jXM3Nxh/knUYqYrShFwRUdlnlUROxNaRp1M/D/6uSn1nH7lZiLKU2zNm4WtqRhZzEhSctNp2vYHer4d13mX0UpPvrxd/bLlGLicNqKCZY3cfpqZj7SvkJEvJZyAjlvku1uMMX9t3rweckkN2+3bhzu1vTr6i7Tb6U0zVkHaBUTO9bxz/sY32RaRWhQmk1tQ7l34MLs0iXsDB//qWh9Xi/vNDMz74qIGyjPyNiBlRQTwKF1fEZmtu4J6VRMtJpT3ze9cCXNFhYTktTMOnV8a6eZmflIRCyhnFz22tcozaoOioj1M3NpbSP/ijp/hW+3I2Jb4DPAmpR7FU6hnMzfnZkZEa9rmz8Vj6vj7eowmbU6TczMe7os3yqC2nsaavW81OmhbZ2scnwrMfE5E/sA3wQ+EhE3Z+Yp7Qv34PhPRevzurKHMm5H6c52Zfat47Papj2ljtuLie3ruFuxKGmW8wZsSWrm7jru2HwjIlaj3Jw9UaunnI7dcEZ5gvC01GZW36c0kzmkTt6H0jvQHzLzwgmrvJxyonpqZv5tZl6SmXdlZiu2LaYZQutYvD4zYyXDe6f7/jpoNVVabxjjy8yfUG7ABzixQ7ezM338p6J1DDaZZJlN6/jPmoJ10CrK2puZta5M/BogIh4HPL1OO38K25Q0C1lMSFIzrWcIPLHL/O3o/M1y6xv4bm3IV/bNeTetqw+vnDD+SodlF9TxT7ts6yldpnfTajrTrx57Lqvjp01x+X7HR2Z+k9IMawPgHRNmL6jjJsd/yt22TtD6vHbssrj2HLXFhGUn0yp6W88I2ZjSA9eiXN697kspvwM/y8wbmgQtafhZTEhSM2fX8aER0ekKxJu6rHcb5ZkAa0XETh3mv65hPKdT2qXvHxFbAC+r0zsVE63265tOnFG7+3xhg30DHNHlWMy0b9bxi2uToZXpd3wtH6zjt0XEOm3TV+X4t9adbnOsVnOkQyOiU9O7/0N5fsX1wJVT2F6rYNiljlsPF7wEHr0q8f467YNIGlkWE5LUzA8oPdWsDXyxPkQNgIh4OaUXn4cmrlSbsrRO7P6t/SSz3pTb6OFemXk35aFsqwGfplz5uCQzO90g/uM6flNEtJqmtB5w93XKA82ms+9fUu7b2BA4Z+JTqyNi9YjYPyK+FBFzp7PtLvu7iFIgzAPOjIg9J+xvu4j420HF1+bblBv012fFXp1W5fhfU8fPnGYsP6R00zoX+EpEPNrcKSIOZHmPTB9sa241mXPq+N31s//o/RJ126dR7hf6cmZ+e5qxSppNBt03rYODg8OgB5b3zf97yolet+FtE9bbiXKlofW8iQvbtvUJuvf5/0RKu/SktGW/iPIE5KQ8NGzKz5mYMP9FrXXr8M4uy60B/Kwu8xClGdCllJudF1KeCJ3AyVONgXKD79lt+76e0sznN/XYtKbPm7Bex/c6hf2tT2km1NrutfX4L6bDczyaxjfFz82RkyxzdF1mUWvbq3j8X90W66WULn/PBZ66ss8IpQndDSx/3sRFlHseWtv7AlN/xsRWLP/s39F23P9IuXqSlIJi7qB/vx0cHHo7eGVCkpbbnnLjcrdhm/aFM/MySh/6X6ackO4M3Am8FXhLt51k5hWUpzF/j3IC+QTKyfALM/OkVYj/TKDVFWmyYjex7ft/iPKcjI+xvAef9YDPAbsDN013x1mujBwEvIpy5WVtlj8/4TfAh4C9MnPZdLfdZX9LKd/Ovxn4CaW42JmSh/9mwvHvd3xtTqEUCJtRrzqtyvHPzC8Cb68xb0s5Bs9kCjejZ+YfKM2RPkI56d+JckP2+ZQitIRf4QAAAQpJREFU5bWZOaV7MjLzesrvxHconQm0mmxtQClSjgBelpn3T2V7kmavmOLfDUnSNEXEdZRvcLfOzOsGG43UGxExj9KxwH2UJ4x7YiGNEa9MSJKkVbEj5XzicgsJafxYTEiSpFXR6pXsskmXkjSSLCYkSdKqsJiQxpjFhCRJWhUWE9IY8wZsSZIkSY14ZUKSJElSIxYTkiRJkhqxmJAkSZLUiMWEJEmSpEYsJiRJkiQ1YjEhSZIkqRGLCUmSJEmNWExIkiRJasRiQpIkSVIjFhOSJEmSGrGYkCRJktSIxYQkSZKkRiwmJEmSJDViMSFJkiSpEYsJSZIkSY1YTEiSJElqxGJCkiRJUiP/H7UvISjJY72eAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1920x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k = 0\n",
    "\n",
    "for k in range(20,0,-1):\n",
    "    \n",
    "    if p_CO[i]<25 and p_NO[i]<25:\n",
    "        \n",
    "        k=k+1\n",
    "        \n",
    "phi_25 = np.zeros(k+1)\n",
    "q_CO25 = np.zeros(k+1)\n",
    "q_NO25 = np.zeros(k+1)\n",
    "        \n",
    "for m in range (0,k+1,1):\n",
    "    phi_25[m] = phi[m+11]\n",
    "    q_CO25[m] = q_CO[m+11]\n",
    "    q_NO25[m] = q_NO[m+11]\n",
    "            \n",
    "fig = plt.figure(figsize = (12,6), dpi =160)\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.plot(phi_25, q_CO25, 'r-', label = \"lean PSR\", color = 'red')\n",
    "plt.xlabel('Equivalence Ratio $\\phi$')\n",
    "plt.ylabel('$\\chi_{CO}$')\n",
    "plt.axhline(25, label = '25 vppm', ls = 'dotted', color = 'green')\n",
    "plt.title('CO molar fraction vs. Equivalence Ratio')\n",
    "plt.legend(loc=1)\n",
    "plt.grid(True)\n",
    "\n",
    "fig = plt.figure(figsize = (12,6), dpi =160)\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.plot(phi_25, q_NO25, 'r-', label = \"lean PSR\", color = 'yellow')\n",
    "plt.xlabel('Equivalence Ratio $\\phi$')\n",
    "plt.ylabel('$\\chi_{NO}$')\n",
    "plt.axhline(25, label = '25 vppm', ls = 'dotted', )\n",
    "plt.title('NO molar fraction vs. Equivalence Ratio')\n",
    "plt.legend(loc=1)\n",
    "plt.grid(True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.6 Mole Fractions of CO, NO and CH4 vs RQL Equivalence Ratio Graph 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1920x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure(figsize=(12, 5), dpi= 160)\n",
    "plt.clf()\n",
    "plt.subplot(2,2,2)\n",
    "plt.plot(phi, q_CO, label= 'CO', color='blue')\n",
    "plt.plot(phi, q_NO, label='NO', color='red')\n",
    "plt.plot(phi, q_CH4, label='CH4', color='orange')\n",
    "plt.ticklabel_format(style='sci', axis='both', scilimits=(0,0))\n",
    "plt.xlabel('RQL Equivalence Ratio')\n",
    "plt.ylabel('Mole Fractions')\n",
    "plt.tight_layout()\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 - Comparison and Explanation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to get a better understanding of the functionality of the RQL Combustor, we are now asked to compare its pollutant emissions (XMAX for each pollutant) with the single PSR Combustor and the Equilibrium calculations. Below are the values\n",
    "\n",
    "    SPECIES      Equilibrium      PSR Combuster          RQL Combuster\n",
    "    CH4        5.48799384e-18     8.55205917           2.7194197039166287e-09\n",
    "    NO         3884.57825107      21.98736946           20.896103682076205\n",
    "    CO         14.14964164        124.18476848          14.628281104538601\n",
    "\n",
    "Comparing pollutant emissions of the RQL Combustor to the PSR Combustor, it can be seen that for NO, RQL Combuster has lower emission compared  to PSR Combuster. A similar pattern can be seen for CO however it is to be noted that the difference between the emissions is higher compared to NO. In the case of UHC, the emissions of the PSR is always higher than that of the RQL.\n",
    "\n",
    "Comparing the pollutant emissions of the RQL Combustor to the Equilibrium Calculations, it can be seen that for NO, the emissions of the RQL is always lower than that of the Equilibrium Calculations by a huge difference. In the case for CO, the emissions of the RQL is always greater by a small amount than that of the Equilibrium Calculations. In the case of UHC, the emissions of the RQL is higher than that of the Equilibrium Calculations.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In conclusion we were initially asked to look into the Equilibrium Combustion of Methane with Air, and then compare it to different types of combustor designs (PSR and RQL). CANTERA was used to effectively simulate chemical reactions and to measure the mole fractions of common pollutant species such as UHC, CO and NO. When comparing the PSR Combustor to the RQL Combustor, it was concluded that the RQL was a better option because it had lower amounts of pollutant generation due to the multi-staged combustion processes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1.\tCengel, Y. A., & Boles, M. A. (2011). Thermodynamics An Engineering Approach (7th Edition in SI units ed.). New York , USA: McGraw-Hill Companies.\n",
    "2.\thttp://www.energy.ca.gov/2012publications/CEC-500-2012-001/CEC-500-2012-001.pdf\n",
    "3.\thttp://cdn.intechopen.com/pdfs-wm/45115.pdf\n"
   ]
  }
 ],
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